कौन सी संख्या अपरिमेय संख्या का उदाहरण है?
Which number is an example of an irrational number?
#irrational-numbers
#real-numbers
#square-root
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{15}\)
B \(\frac{9}{11}\)
C (2.4)
D (0)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{15}\)
Step 1
Concept
\(\sqrt{15}\) is irrational because (15) is not a perfect square. Identifying perfect squares is very useful in exams.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{15}\). \(\sqrt{15}\) is irrational because (15) is not a perfect square. Identifying perfect squares is very useful in exams.
Step 3
Exam Tip
\(\sqrt{15}\) में (15) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है। परीक्षा में पूर्ण वर्ग पहचानना बहुत उपयोगी है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या परिमेय है?
Which number is rational?
#rational-numbers
#fractions
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(-\frac{7}{5}\)
B \(\sqrt{21}\)
C \(\sqrt{31}\)
D \(\pi+1\)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{7}{5}\)
Step 1
Concept
It is a ratio of two integers so it is rational. In \(\frac{p}{q}\) form \(q\neq0\).
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{7}{5}\). It is a ratio of two integers so it is rational. In \(\frac{p}{q}\) form \(q\neq0\).
Step 3
Exam Tip
यह दो पूर्णांकों का अनुपात है इसलिए परिमेय है। \(\frac{p}{q}\) रूप में \(q\neq0\) होना चाहिए।
Login to save your score, XP, coins and progress. Login
यदि किसी संख्या का दशमलव विस्तार समाप्त हो जाता है तो वह कैसी संख्या होती है?
If the decimal expansion of a number terminates then what type of number is it?
#terminating-decimal
#rational-numbers
#decimal
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D सिर्फ प्राकृतिक संख्या / Natural number only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
A terminating decimal can be written as a fraction. Hence it is a rational number.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. A terminating decimal can be written as a fraction. Hence it is a rational number.
Step 3
Exam Tip
सांत दशमलव को भिन्न के रूप में लिखा जा सकता है। इसलिए यह परिमेय संख्या होती है।
Login to save your score, XP, coins and progress. Login
दशमलव (3.272727...) किस प्रकार की संख्या है?
What type of number is the decimal (3.272727...)?
#recurring-decimal
#rational-numbers
#decimal
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C पूर्णांक / Integer
D अवास्तविक संख्या / Non real number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The block (27) repeats so it is a recurring decimal. Every recurring decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The block (27) repeats so it is a recurring decimal. Every recurring decimal is rational.
Step 3
Exam Tip
इसमें (27) बार-बार दोहरता है इसलिए यह आवर्ती दशमलव है। हर आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
दशमलव (5.123123312333...) में कोई निश्चित आवर्तन नहीं है। यह कैसी संख्या है?
The decimal (5.123123312333...) has no fixed repetition. What type of number is it?
#non-recurring-decimal
#irrational-numbers
#real-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्ण संख्या / Whole number
D पूर्णांक / Integer
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
A non terminating and non recurring decimal is irrational. Do not decide only by seeing it is infinite.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. A non terminating and non recurring decimal is irrational. Do not decide only by seeing it is infinite.
Step 3
Exam Tip
अनंत और अनावर्ती दशमलव अपरिमेय होता है। केवल अनंत देखकर निर्णय न लें।
Login to save your score, XP, coins and progress. Login
\(\sqrt{121}\) का मान किस प्रकार की संख्या है?
What type of number is the value of \(\sqrt{121}\)?
#perfect-square
#square-root
#rational-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{121}=11\) and (11) is rational. The square root of a perfect square is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{121}=11\) and (11) is rational. The square root of a perfect square is rational.
Step 3
Exam Tip
\(\sqrt{121}=11\) है और (11) परिमेय है। पूर्ण वर्ग की वर्गमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{37}\) के बारे में कौन सा कथन सही है?
Which statement is correct about \(\sqrt{37}\)?
#irrational-root
#square-root
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A यह अपरिमेय है / It is irrational
B यह पूर्ण वर्ग है / It is a perfect square
C यह पूर्णांक है / It is an integer
D यह (6) के बराबर है / It is equal to (6)
Explanation opens after your attempt
Correct Answer
A. यह अपरिमेय है / It is irrational
Step 1
Concept
(37) is not a perfect square so \(\sqrt{37}\) is irrational. Remember the list of perfect squares.
Step 2
Why this answer is correct
The correct answer is A. यह अपरिमेय है / It is irrational. (37) is not a perfect square so \(\sqrt{37}\) is irrational. Remember the list of perfect squares.
Step 3
Exam Tip
(37) पूर्ण वर्ग नहीं है इसलिए \(\sqrt{37}\) अपरिमेय है। पूर्ण वर्गों की सूची याद रखें।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प केवल परिमेय संख्याएँ दिखाता है?
Which option shows only rational numbers?
#rational-numbers
#set-classification
#mcq
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4), (-2), (0.75)
B \(\sqrt{2}\), (3), (5)
C \(\pi\), (1), (2)
D \(\sqrt{10}\), \(\sqrt{25}\), (7)
Explanation opens after your attempt
Correct Answer
A. (4), (-2), (0.75)
Step 1
Concept
Integers and terminating decimals are rational. Options containing irrational roots or \(\pi\) are not only rational.
Step 2
Why this answer is correct
The correct answer is A. (4), (-2), (0.75). Integers and terminating decimals are rational. Options containing irrational roots or \(\pi\) are not only rational.
Step 3
Exam Tip
पूर्णांक और सांत दशमलव परिमेय होते हैं। जिन विकल्पों में अपरिमेय जड़ या \(\pi\) है वे केवल परिमेय नहीं हैं।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प केवल अपरिमेय संख्याएँ दिखाता है?
Which option shows only irrational numbers?
#irrational-numbers
#set-classification
#real-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{2}\), \(\sqrt{7}\), \(\pi\)
B \(\sqrt{4}\), \(\sqrt{7}\), \(\pi\)
C (0.25), \(\sqrt{3}\), \(\sqrt{5}\)
D \(\frac{2}{3}\), \(\pi\), \(\sqrt{11}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{2}\), \(\sqrt{7}\), \(\pi\)
Step 1
Concept
\(\sqrt{2}\), \(\sqrt{7}\), and \(\pi\) are all irrational. Identify square roots of perfect squares and fractions separately.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{2}\), \(\sqrt{7}\), \(\pi\). \(\sqrt{2}\), \(\sqrt{7}\), and \(\pi\) are all irrational. Identify square roots of perfect squares and fractions separately.
Step 3
Exam Tip
\(\sqrt{2}\), \(\sqrt{7}\) और \(\pi\) सभी अपरिमेय हैं। पूर्ण वर्ग की जड़ और भिन्न को अलग पहचानें।
Login to save your score, XP, coins and progress. Login
वास्तविक संख्याओं के बारे में कौन सा कथन सही है?
Which statement about real numbers is correct?
#real-numbers
#rational-irrational
#number-line
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A इनमें परिमेय और अपरिमेय दोनों शामिल हैं / They include both rational and irrational numbers
B इनमें केवल पूर्णांक शामिल हैं / They include only integers
C इनमें केवल प्राकृतिक संख्याएँ शामिल हैं / They include only natural numbers
D इनमें ऋणात्मक संख्याएँ नहीं होतीं / They do not contain negative numbers
Explanation opens after your attempt
Correct Answer
A. इनमें परिमेय और अपरिमेय दोनों शामिल हैं / They include both rational and irrational numbers
Step 1
Concept
Real numbers form the large set of rational and irrational numbers. They can be represented on the number line.
Step 2
Why this answer is correct
The correct answer is A. इनमें परिमेय और अपरिमेय दोनों शामिल हैं / They include both rational and irrational numbers. Real numbers form the large set of rational and irrational numbers. They can be represented on the number line.
Step 3
Exam Tip
वास्तविक संख्याएँ परिमेय और अपरिमेय संख्याओं का बड़ा समुच्चय हैं। संख्या रेखा पर इन्हें दर्शाया जा सकता है।
Login to save your score, XP, coins and progress. Login
(-8) किस प्रकार की संख्या है?
What type of number is (-8)?
#integers
#rational-numbers
#real-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय और वास्तविक / Rational and real
B अपरिमेय / Irrational
C अवास्तविक / Non real
D केवल प्राकृतिक / Natural only
Explanation opens after your attempt
Correct Answer
A. परिमेय और वास्तविक / Rational and real
Step 1
Concept
(-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 2
Why this answer is correct
The correct answer is A. परिमेय और वास्तविक / Rational and real. (-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 3
Exam Tip
\(-8=\frac{-8}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। हर पूर्णांक वास्तविक भी होता है।
Login to save your score, XP, coins and progress. Login
\(6+\sqrt{11}\) किस प्रकार की संख्या है?
What type of number is \(6+\sqrt{11}\)?
#addition
#rational-irrational
#irrational-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
Adding irrational \(\sqrt{11}\) to rational (6) gives an irrational number. Do not mistake the root for a perfect square.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. Adding irrational \(\sqrt{11}\) to rational (6) gives an irrational number. Do not mistake the root for a perfect square.
Step 3
Exam Tip
परिमेय संख्या (6) में अपरिमेय \(\sqrt{11}\) जोड़ने पर परिणाम अपरिमेय रहता है। जड़ को पूर्ण वर्ग समझने की गलती न करें।
Login to save your score, XP, coins and progress. Login
\(10-\sqrt{6}\) किस प्रकार की संख्या है?
What type of number is \(10-\sqrt{6}\)?
#subtraction
#irrational-numbers
#properties
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C प्राकृतिक संख्या / Natural number
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
Subtracting an irrational number from a rational number gives an irrational result. \(\sqrt{6}\) is irrational because (6) is not a perfect square.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. Subtracting an irrational number from a rational number gives an irrational result. \(\sqrt{6}\) is irrational because (6) is not a perfect square.
Step 3
Exam Tip
परिमेय से अपरिमेय घटाने पर परिणाम अपरिमेय होता है। \(\sqrt{6}\) अपरिमेय है क्योंकि (6) पूर्ण वर्ग नहीं है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{3}\times\sqrt{27}\) का मान क्या है?
What is the value of \(\sqrt{3}\times\sqrt{27}\)?
#multiplication
#irrational-numbers
#rational-result
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B \(3\sqrt{3}\)
C \(\sqrt{30}\)
D (27)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{3}\times\sqrt{27}=\sqrt{81}=9\). The product of two irrational numbers can be rational.
Step 2
Why this answer is correct
The correct answer is A. (9). \(\sqrt{3}\times\sqrt{27}=\sqrt{81}=9\). The product of two irrational numbers can be rational.
Step 3
Exam Tip
\(\sqrt{3}\times\sqrt{27}=\sqrt{81}=9\) है। दो अपरिमेय संख्याओं का गुणनफल परिमेय भी हो सकता है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{32}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{32}\)?
#surds
#simplification
#square-root
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4\sqrt{2}\)
B \(8\sqrt{2}\)
C \(2\sqrt{8}\)
D \(\sqrt{16}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{2}\)
Step 1
Concept
\(\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}\). Take out the greatest perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{2}\). \(\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}\). Take out the greatest perfect square.
Step 3
Exam Tip
\(\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}\) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
Login to save your score, XP, coins and progress. Login
\(\sqrt{75}\) का सही सरल रूप कौन सा है?
Which is the correct simplified form of \(\sqrt{75}\)?
#surds
#square-root
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(5\sqrt{3}\)
B \(3\sqrt{5}\)
C \(25\sqrt{3}\)
D \(\sqrt{15}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{3}\)
Step 1
Concept
\(\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}\). Take the perfect square factor (25) outside.
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{3}\). \(\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}\). Take the perfect square factor (25) outside.
Step 3
Exam Tip
\(\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}\) है। पूर्ण वर्ग गुणनखंड (25) को बाहर निकालें।
Login to save your score, XP, coins and progress. Login
\(\sqrt{48}+\sqrt{12}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{48}+\sqrt{12}\)?
#surds
#addition
#like-terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(6\sqrt{3}\)
B \(4\sqrt{15}\)
C \(60\sqrt{3}\)
D \(2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। समान पद जोड़ने पर \(6\sqrt{3}\) मिलता है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{45}-\sqrt{20}\) का मान क्या है?
What is the value of \(\sqrt{45}-\sqrt{20}\)?
#surds
#subtraction
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{5}\)
B \(5\sqrt{5}\)
C \(\sqrt{25}\)
D \(13\sqrt{5}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{5}\)
Step 1
Concept
\(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{20}=2\sqrt{5}\). The difference is \(\sqrt{5}\).
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{5}\). \(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{20}=2\sqrt{5}\). The difference is \(\sqrt{5}\).
Step 3
Exam Tip
\(\sqrt{45}=3\sqrt{5}\) और \(\sqrt{20}=2\sqrt{5}\) है। अंतर \(\sqrt{5}\) है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प संख्या रेखा पर (4) और (5) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (4) and (5) on the number line?
#number-line
#between-numbers
#irrational
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{19}\)
B \(\sqrt{16}\)
C \(\sqrt{25}\)
D \(\frac{9}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{19}\)
Step 1
Concept
\(\sqrt{19}\) lies between (4) and (5) because (16<19<25). It is irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{19}\). \(\sqrt{19}\) lies between (4) and (5) because (16<19<25). It is irrational.
Step 3
Exam Tip
\(\sqrt{19}\) (4) और (5) के बीच है क्योंकि (16<19<25)। यह अपरिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (2) और (3) के बीच की परिमेय संख्या है?
Which number is a rational number between (2) and (3)?
#rational-number
#number-line
#between-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{5}{2}\)
B \(\sqrt{5}\)
C \(\sqrt{6}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{2}\)
Step 1
Concept
\(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{2}\). \(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{5}{2}=2.5\) है जो (2) और (3) के बीच है और परिमेय है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
(0.040040004...) किस प्रकार का दशमलव है?
What type of decimal is (0.040040004...)?
#irrational-decimal
#non-repeating
#decimal-expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A अनंत और अनावर्ती / Non terminating and non repeating
B सांत / Terminating
C अनंत और आवर्ती / Non terminating and repeating
D पूर्णांक / Integer
Explanation opens after your attempt
Correct Answer
A. अनंत और अनावर्ती / Non terminating and non repeating
Step 1
Concept
It has no fixed repeating block. So it is non terminating and non repeating.
Step 2
Why this answer is correct
The correct answer is A. अनंत और अनावर्ती / Non terminating and non repeating. It has no fixed repeating block. So it is non terminating and non repeating.
Step 3
Exam Tip
इसमें दोहरने वाला निश्चित समूह नहीं है। इसलिए यह अनंत और अनावर्ती दशमलव है।
Login to save your score, XP, coins and progress. Login
\(2.\overline{18}\) किस प्रकार की संख्या है?
What type of number is \(2.\overline{18}\)?
#bar-decimal
#repeating-decimal
#rational
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The bar shows that (18) repeats. A repeating decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The bar shows that (18) repeats. A repeating decimal is rational.
Step 3
Exam Tip
ऊपर की रेखा बताती है कि (18) दोहरता है। आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
यदि \(x=\sqrt{13}\) है तो \(x^2\) का मान क्या है?
If \(x=\sqrt{13}\), what is the value of \(x^2\)?
#square-root
#square
#calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (13)
B \(\sqrt{13}\)
C (169)
D (26)
Explanation opens after your attempt
Step 1
Concept
(\(\sqrt{13}\)2 =13). Squaring and taking the square root cancel each other.
Step 2
Why this answer is correct
The correct answer is A. (13). (\(\sqrt{13}\)2 =13). Squaring and taking the square root cancel each other.
Step 3
Exam Tip
(\(\sqrt{13}\)2 =13) होता है। वर्ग और वर्गमूल एक-दूसरे को समाप्त कर देते हैं।
Login to save your score, XP, coins and progress. Login
\(\frac{3}{\sqrt{3}}\) का सरल मान क्या है?
What is the simplified value of \(\frac{3}{\sqrt{3}}\)?
#simplification
#irrational-numbers
#division
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{3}\)
B \(3\sqrt{3}\)
C (1)
D \(\frac{1}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{3}\)
Step 1
Concept
\(\frac{3}{\sqrt{3}}=\sqrt{3}\) because \(3=\sqrt{3}\times\sqrt{3}\). Practice simplifying denominators with roots.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{3}\). \(\frac{3}{\sqrt{3}}=\sqrt{3}\) because \(3=\sqrt{3}\times\sqrt{3}\). Practice simplifying denominators with roots.
Step 3
Exam Tip
\(\frac{3}{\sqrt{3}}=\sqrt{3}\) क्योंकि \(3=\sqrt{3}\times\sqrt{3}\)। जड़ वाले हर को सरल करने का अभ्यास करें।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प अपरिमेय संख्या को शून्य से गुणा करने का परिणाम दिखाता है?
Which option shows the result of multiplying an irrational number by zero?
#zero
#multiplication
#rational-result
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0) जो परिमेय है / (0) which is rational
B हमेशा अपरिमेय / Always irrational
C हमेशा ऋणात्मक / Always negative
D हमेशा अवास्तविक / Always non real
Explanation opens after your attempt
Correct Answer
A. (0) जो परिमेय है / (0) which is rational
Step 1
Concept
Multiplying any real number by (0) gives (0). (0) is a rational number.
Step 2
Why this answer is correct
The correct answer is A. (0) जो परिमेय है / (0) which is rational. Multiplying any real number by (0) gives (0). (0) is a rational number.
Step 3
Exam Tip
किसी भी वास्तविक संख्या को (0) से गुणा करने पर (0) मिलता है। (0) परिमेय संख्या है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प दो अपरिमेय संख्याओं का योग परिमेय बनने का उदाहरण है?
Which option is an example where the sum of two irrational numbers is rational?
#irrational-numbers
#addition
#counterexample
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (\sqrt{5}+\(-\sqrt{5}\))
B \(\sqrt{2}+\sqrt{7}\)
C \(\sqrt{3}+1\)
D (2+3)
Explanation opens after your attempt
Correct Answer
A. (\sqrt{5}+\(-\sqrt{5}\))
Step 1
Concept
(\sqrt{5}+\(-\sqrt{5}\)=0), which is rational. This shows the sum is not always irrational.
Step 2
Why this answer is correct
The correct answer is A. (\sqrt{5}+\(-\sqrt{5}\)). (\sqrt{5}+\(-\sqrt{5}\)=0), which is rational. This shows the sum is not always irrational.
Step 3
Exam Tip
(\sqrt{5}+\(-\sqrt{5}\)=0) है जो परिमेय है। इससे पता चलता है कि योग हमेशा अपरिमेय नहीं होता।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प दो अपरिमेय संख्याओं का गुणनफल अपरिमेय बनने का उदाहरण है?
Which option is an example where the product of two irrational numbers is irrational?
#irrational-numbers
#multiplication
#example
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{2}\times\sqrt{5}\)
B \(\sqrt{7}\times\sqrt{7}\)
C \(\sqrt{11}\times0\)
D \(\sqrt{4}\times\sqrt{9}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{2}\times\sqrt{5}\)
Step 1
Concept
\(\sqrt{2}\times\sqrt{5}=\sqrt{10}\), which is irrational. Multiplying equal roots can often give a rational number.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{2}\times\sqrt{5}\). \(\sqrt{2}\times\sqrt{5}=\sqrt{10}\), which is irrational. Multiplying equal roots can often give a rational number.
Step 3
Exam Tip
\(\sqrt{2}\times\sqrt{5}=\sqrt{10}\) है जो अपरिमेय है। समान जड़ों का गुणन अक्सर परिमेय दे सकता है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{0.09}\) का मान क्या है?
What is the value of \(\sqrt{0.09}\)?
#decimal-square-root
#rational-numbers
#calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0.3)
B (0.03)
C (3)
D (0.9)
Explanation opens after your attempt
Step 1
Concept
Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 2
Why this answer is correct
The correct answer is A. (0.3). Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 3
Exam Tip
\(0.3\times0.3=0.09\) इसलिए \(\sqrt{0.09}=0.3\)। यह सांत दशमलव है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{\frac{16}{25}}\) का मान क्या है?
What is the value of \(\sqrt{\frac{16}{25}}\)?
#square-root
#fraction
#rational-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{4}{5}\)
B \(\frac{16}{5}\)
C \(\frac{8}{25}\)
D \(\frac{2}{5}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{4}{5}\)
Step 1
Concept
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). This is a rational number.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{4}{5}\). \(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). This is a rational number.
Step 3
Exam Tip
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\) है। यह परिमेय संख्या है।
Login to save your score, XP, coins and progress. Login
\(\sqrt[3]{8}\) किस प्रकार की संख्या है?
What type of number is \(\sqrt[3]{8}\)?
#cube-root
#rational-numbers
#perfect-cube
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनंत दशमलव / Infinite decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{8}=2\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{8}=2\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{8}=2\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
\(\sqrt[3]{4}\) के बारे में कौन सा कथन सही है?
Which statement is correct about \(\sqrt[3]{4}\)?
#cube-root
#irrational-numbers
#perfect-cube
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A यह अपरिमेय है / It is irrational
B यह (2) है / It is (2)
C यह पूर्णांक है / It is an integer
D यह शून्य है / It is zero
Explanation opens after your attempt
Correct Answer
A. यह अपरिमेय है / It is irrational
Step 1
Concept
(4) is not a perfect cube so \(\sqrt[3]{4}\) is irrational. Identify perfect cubes in cube roots.
Step 2
Why this answer is correct
The correct answer is A. यह अपरिमेय है / It is irrational. (4) is not a perfect cube so \(\sqrt[3]{4}\) is irrational. Identify perfect cubes in cube roots.
Step 3
Exam Tip
(4) पूर्ण घन नहीं है इसलिए \(\sqrt[3]{4}\) अपरिमेय है। घनमूल में पूर्ण घन पहचानें।
Login to save your score, XP, coins and progress. Login
यदि (a) एक परिमेय संख्या है तो (a+0) किस प्रकार की संख्या होगी?
If (a) is a rational number then what type of number is (a+0)?
#rational-numbers
#zero
#properties
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D हमेशा प्राकृतिक संख्या / Always natural number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
Adding (0) does not change the number. So (a+0=a) remains rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. Adding (0) does not change the number. So (a+0=a) remains rational.
Step 3
Exam Tip
(0) जोड़ने से संख्या नहीं बदलती। इसलिए (a+0=a) परिमेय रहेगा।
Login to save your score, XP, coins and progress. Login
यदि (b) एक अपरिमेय संख्या है तो (b+0) किस प्रकार की संख्या होगी?
If (b) is an irrational number then what type of number is (b+0)?
#irrational-numbers
#zero
#properties
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
Adding (0) leaves the irrational number unchanged. Hence (b+0=b) is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. Adding (0) leaves the irrational number unchanged. Hence (b+0=b) is irrational.
Step 3
Exam Tip
(0) जोड़ने से अपरिमेय संख्या वही रहती है। इसलिए (b+0=b) अपरिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प वास्तविक संख्या है लेकिन परिमेय नहीं है?
Which option is real but not rational?
#real-numbers
#not-rational
#irrational
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{23}\)
B (12)
C (-0.6)
D \(\frac{15}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{23}\)
Step 1
Concept
\(\sqrt{23}\) is real but irrational because (23) is not a perfect square. So it is not rational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{23}\). \(\sqrt{23}\) is real but irrational because (23) is not a perfect square. So it is not rational.
Step 3
Exam Tip
\(\sqrt{23}\) वास्तविक है लेकिन अपरिमेय है क्योंकि (23) पूर्ण वर्ग नहीं है। इसलिए यह परिमेय नहीं है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प वास्तविक संख्या भी है और अपरिमेय भी है?
Which option is both real and irrational?
#negative-irrational
#real-numbers
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(-\sqrt{18}\)
B (-9)
C (0.125)
D \(\sqrt{100}\)
Explanation opens after your attempt
Correct Answer
A. \(-\sqrt{18}\)
Step 1
Concept
\(\sqrt{18}\) is irrational and its negative is also real irrational. A negative sign does not change rationality.
Step 2
Why this answer is correct
The correct answer is A. \(-\sqrt{18}\). \(\sqrt{18}\) is irrational and its negative is also real irrational. A negative sign does not change rationality.
Step 3
Exam Tip
\(\sqrt{18}\) अपरिमेय है और उसका ऋण भी वास्तविक अपरिमेय है। ऋण चिह्न परिमेयता नहीं बदलता।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या पूर्ण संख्या नहीं है लेकिन परिमेय है?
Which number is not a whole number but is rational?
#whole-numbers
#rational-numbers
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{3}{8}\)
B (6)
C (0)
D \(\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{8}\)
Step 1
Concept
\(\frac{3}{8}\) is rational but not a whole number. Whole numbers are \(0,1,2,\ldots\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{8}\). \(\frac{3}{8}\) is rational but not a whole number. Whole numbers are \(0,1,2,\ldots\).
Step 3
Exam Tip
\(\frac{3}{8}\) परिमेय है लेकिन पूर्ण संख्या नहीं है। पूर्ण संख्या \(0,1,2,\ldots\) होती हैं।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प सही क्रम दिखाता है?
Which option shows the correct order?
#number-system
#sets
#real-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A प्राकृतिक संख्याएँ पूर्ण संख्याओं का भाग हैं और पूर्ण संख्याएँ पूर्णांकों का भाग हैं / Natural numbers are part of whole numbers and whole numbers are part of integers
B पूर्णांक प्राकृतिक संख्याओं का भाग हैं / Integers are part of natural numbers
C अपरिमेय संख्याएँ पूर्णांकों का भाग हैं / Irrational numbers are part of integers
D वास्तविक संख्याएँ केवल प्राकृतिक संख्याएँ हैं / Real numbers are only natural numbers
Explanation opens after your attempt
Correct Answer
A. प्राकृतिक संख्याएँ पूर्ण संख्याओं का भाग हैं और पूर्ण संख्याएँ पूर्णांकों का भाग हैं / Natural numbers are part of whole numbers and whole numbers are part of integers
Step 1
Concept
In sets, natural numbers lie inside whole numbers. Whole numbers lie inside integers.
Step 2
Why this answer is correct
The correct answer is A. प्राकृतिक संख्याएँ पूर्ण संख्याओं का भाग हैं और पूर्ण संख्याएँ पूर्णांकों का भाग हैं / Natural numbers are part of whole numbers and whole numbers are part of integers. In sets, natural numbers lie inside whole numbers. Whole numbers lie inside integers.
Step 3
Exam Tip
समुच्चयों में प्राकृतिक संख्याएँ पूर्ण संख्याओं के अंदर आती हैं। पूर्ण संख्याएँ पूर्णांकों के अंदर आती हैं।
Login to save your score, XP, coins and progress. Login
यदि (x=0.125) है तो (x) किस प्रकार की संख्या है?
If (x=0.125), what type of number is (x)?
#terminating-decimal
#rational-numbers
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
(0.125) is terminating so it is rational. It can also be written as \(\frac{1}{8}\).
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. (0.125) is terminating so it is rational. It can also be written as \(\frac{1}{8}\).
Step 3
Exam Tip
(0.125) सांत दशमलव है इसलिए परिमेय है। इसे \(\frac{1}{8}\) भी लिखा जा सकता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प सांत दशमलव नहीं है लेकिन परिमेय है?
Which option is not terminating but rational?
#recurring-decimal
#rational-numbers
#non-terminating
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0.121212...)
B (0.875)
C \(\sqrt{12}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. (0.121212...)
Step 1
Concept
(0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. (0.121212...). (0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.
Step 3
Exam Tip
(0.121212...) अनंत आवर्ती दशमलव है। अनंत आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
यदि (m) और (n) परिमेय संख्याएँ हैं तो (m+n) किस प्रकार की संख्या होगी?
If (m) and (n) are rational numbers then what type of number will (m+n) be?
#rational-numbers
#addition
#closure
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C हमेशा प्राकृतिक संख्या / Always natural number
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 3
Exam Tip
दो परिमेय संख्याओं का योग परिमेय होता है। इसे परिमेय संख्याओं की बंदता कहा जाता है।
Login to save your score, XP, coins and progress. Login
यदि (m) और (n) परिमेय संख्याएँ हैं तो \(m\times n\) किस प्रकार की संख्या होगी?
If (m) and (n) are rational numbers then what type of number will \(m\times n\) be?
#rational-numbers
#multiplication
#closure
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C हमेशा पूर्णांक / Always integer
D हमेशा ऋणात्मक / Always negative
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The product of two rational numbers is rational. But the result is not always an integer.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The product of two rational numbers is rational. But the result is not always an integer.
Step 3
Exam Tip
दो परिमेय संख्याओं का गुणनफल परिमेय होता है। लेकिन परिणाम हमेशा पूर्णांक नहीं होता।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{28}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{28}\)?
#surds
#square-root
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\sqrt{7}\)
B \(7\sqrt{2}\)
C \(4\sqrt{7}\)
D \(\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{7}\)
Step 1
Concept
\(\sqrt{28}=\sqrt{4\times7}=2\sqrt{7}\). The perfect square (4) comes outside.
Step 2
Why this answer is correct
The correct answer is A. \(2\sqrt{7}\). \(\sqrt{28}=\sqrt{4\times7}=2\sqrt{7}\). The perfect square (4) comes outside.
Step 3
Exam Tip
\(\sqrt{28}=\sqrt{4\times7}=2\sqrt{7}\) है। पूर्ण वर्ग (4) बाहर आता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{147}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{147}\)?
#surds
#simplification
#square-root
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(7\sqrt{3}\)
B \(3\sqrt{7}\)
C \(21\sqrt{3}\)
D \(\sqrt{49}\)
Explanation opens after your attempt
Correct Answer
A. \(7\sqrt{3}\)
Step 1
Concept
\(\sqrt{147}=\sqrt{49\times3}=7\sqrt{3}\). Take the large perfect square outside the root.
Step 2
Why this answer is correct
The correct answer is A. \(7\sqrt{3}\). \(\sqrt{147}=\sqrt{49\times3}=7\sqrt{3}\). Take the large perfect square outside the root.
Step 3
Exam Tip
\(\sqrt{147}=\sqrt{49\times3}=7\sqrt{3}\) है। बड़े पूर्ण वर्ग को जड़ से बाहर निकालें।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (-1) और (0) के बीच की परिमेय संख्या है?
Which number is a rational number between (-1) and (0)?
#rational-number
#negative-number
#number-line
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(-\frac{1}{2}\)
B \(-\sqrt{2}\)
C (-2)
D \(\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{1}{2}\)
Step 1
Concept
\(-\frac{1}{2}\) lies between (-1) and (0) and is rational. Place negative fractions carefully on the number line.
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{1}{2}\). \(-\frac{1}{2}\) lies between (-1) and (0) and is rational. Place negative fractions carefully on the number line.
Step 3
Exam Tip
\(-\frac{1}{2}\) (-1) और (0) के बीच है और परिमेय है। संख्या रेखा पर ऋणात्मक भिन्नों को ध्यान से रखें।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (0) और (1) के बीच की अपरिमेय संख्या है?
Which number is an irrational number between (0) and (1)?
#irrational-number
#between-zero-one
#number-line
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{\sqrt{2}}{2}\)
B \(\frac{1}{2}\)
C (0.25)
D (1)
Explanation opens after your attempt
Correct Answer
A. \(\frac{\sqrt{2}}{2}\)
Step 1
Concept
\(\frac{\sqrt{2}}{2}\) is irrational and its value lies between (0) and (1). The root part makes it irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{\sqrt{2}}{2}\). \(\frac{\sqrt{2}}{2}\) is irrational and its value lies between (0) and (1). The root part makes it irrational.
Step 3
Exam Tip
\(\frac{\sqrt{2}}{2}\) अपरिमेय है और इसका मान (0) और (1) के बीच है। जड़ वाला भाग इसे अपरिमेय बनाता है।
Login to save your score, XP, coins and progress. Login
कौन सा निष्कर्ष सही है यदि \(\sqrt{k}=12\) है?
Which conclusion is correct if \(\sqrt{k}=12\)?
#perfect-square
#square-root
#reasoning
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (k=144) और (k) पूर्ण वर्ग है / (k=144) and (k) is a perfect square
B (k=24) और (k) अपरिमेय है / (k=24) and (k) is irrational
C (k=6) और (k) पूर्ण घन है / (k=6) and (k) is a perfect cube
D (k=12) और (k) अपरिमेय है / (k=12) and (k) is irrational
Explanation opens after your attempt
Correct Answer
A. (k=144) और (k) पूर्ण वर्ग है / (k=144) and (k) is a perfect square
Step 1
Concept
From \(\sqrt{k}=12\), \(k=12^2=144\). Therefore (k) is a perfect square.
Step 2
Why this answer is correct
The correct answer is A. (k=144) और (k) पूर्ण वर्ग है / (k=144) and (k) is a perfect square. From \(\sqrt{k}=12\), \(k=12^2=144\). Therefore (k) is a perfect square.
Step 3
Exam Tip
\(\sqrt{k}=12\) से \(k=12^2=144\) मिलता है। इसलिए (k) पूर्ण वर्ग है।
Login to save your score, XP, coins and progress. Login
किसी धनात्मक पूर्णांक (n) के लिए यदि \(\sqrt{n}\) परिमेय है तो (n) के बारे में क्या कहा जा सकता है?
For a positive integer (n), if \(\sqrt{n}\) is rational then what can be said about (n)?
#perfect-square
#rational-root
#exam-rule
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (n) पूर्ण वर्ग है / (n) is a perfect square
B (n) हमेशा अभाज्य है / (n) is always prime
C (n) शून्य है / (n) is zero
D (n) हमेशा विषम है / (n) is always odd
Explanation opens after your attempt
Correct Answer
A. (n) पूर्ण वर्ग है / (n) is a perfect square
Step 1
Concept
The square root of a positive integer is rational only when the number is a perfect square. This is a direct MCQ rule.
Step 2
Why this answer is correct
The correct answer is A. (n) पूर्ण वर्ग है / (n) is a perfect square. The square root of a positive integer is rational only when the number is a perfect square. This is a direct MCQ rule.
Step 3
Exam Tip
धनात्मक पूर्णांक की वर्गमूल परिमेय तभी होती है जब संख्या पूर्ण वर्ग हो। यह MCQ में सीधा नियम है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प परिमेय संख्या नहीं है?
Which option is not a rational number?
#not-rational
#irrational-root
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{29}\)
B \(-\frac{4}{9}\)
C (3.125)
D \(0.\overline{6}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{29}\)
Step 1
Concept
\(\sqrt{29}\) is irrational because (29) is not a perfect square. All others can be written in rational form.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{29}\). \(\sqrt{29}\) is irrational because (29) is not a perfect square. All others can be written in rational form.
Step 3
Exam Tip
\(\sqrt{29}\) अपरिमेय है क्योंकि (29) पूर्ण वर्ग नहीं है। बाकी सभी परिमेय रूप में लिखे जा सकते हैं।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{80}\) का सही सरल रूप है?
Which option is the correct simplified form of \(\sqrt{80}\)?
#surds
#simplification
#square-root
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4\sqrt{5}\)
B \(8\sqrt{5}\)
C \(5\sqrt{4}\)
D \(2\sqrt{20}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{5}\)
Step 1
Concept
\(\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\). Look for a perfect square factor inside the root.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{5}\). \(\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\). Look for a perfect square factor inside the root.
Step 3
Exam Tip
\(\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\) है। जड़ के अंदर पूर्ण वर्ग गुणनखंड खोजें।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प एक अपरिमेय संख्या और उसके विपरीत के योग का परिणाम दिखाता है?
Which option shows the result of the sum of an irrational number and its opposite?
#irrational-numbers
#addition
#opposite-numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C \(\sqrt{2}\)
D \(2\sqrt{2}\)
Explanation opens after your attempt
Step 1
Concept
(\sqrt{2}+\(-\sqrt{2}\)=0). Remember that the sum of two irrational numbers can sometimes be rational.
Step 2
Why this answer is correct
The correct answer is A. (0). (\sqrt{2}+\(-\sqrt{2}\)=0). Remember that the sum of two irrational numbers can sometimes be rational.
Step 3
Exam Tip
(\sqrt{2}+\(-\sqrt{2}\)=0) होता है। इससे याद रखें कि दो अपरिमेय संख्याओं का योग कभी-कभी परिमेय हो सकता है।
Login to save your score, XP, coins and progress. Login
