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\( \sqrt{25} \) किस प्रकार की संख्या है?
What type of number is \( \sqrt{25} \)?
#number-systems
#irrational-numbers
#perfect-square
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A अपरिमेय / Irrational
B असांत अनावर्ती / Non-terminating non-recurring
C परिमेय / Rational
D अपरिभाषित / Undefined
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Correct Answer
C. परिमेय / Rational
Step 1
Concept
\( \sqrt{25}=5 \), and (5) is rational. The square root of a perfect square is rational.
Step 2
Why this answer is correct
The correct answer is C. परिमेय / Rational. \( \sqrt{25}=5 \), and (5) is rational. The square root of a perfect square is rational.
Step 3
Exam Tip
\( \sqrt{25}=5 \) है और (5) परिमेय है। पूर्ण वर्ग का वर्गमूल परिमेय होता है।
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\( \sqrt{49} \) का मान किस प्रकार की संख्या है?
The value of \( \sqrt{49} \) is what type of number?
#number-systems
#irrational-numbers
#perfect-square
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A अपरिमेय / Irrational
B परिमेय / Rational
C असांत अनावर्ती / Non-terminating non-recurring
D प्राकृतिक नहीं / Not natural
Explanation opens after your attempt
Correct Answer
B. परिमेय / Rational
Step 1
Concept
\( \sqrt{49}=7 \), and (7) is rational. Use perfect squares to decide the type of square root.
Step 2
Why this answer is correct
The correct answer is B. परिमेय / Rational. \( \sqrt{49}=7 \), and (7) is rational. Use perfect squares to decide the type of square root.
Step 3
Exam Tip
\( \sqrt{49}=7 \) है और (7) परिमेय है। पूर्ण वर्ग देखकर वर्गमूल का प्रकार तय करें।
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\( \sqrt{8} \) किस प्रकार की संख्या है?
What type of number is \( \sqrt{8} \)?
#number-systems
#irrational-numbers
#square-root
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A अपरिमेय / Irrational
B पूर्णांक / Integer
C सांत दशमलव / Terminating decimal
D परिमेय / Rational
Explanation opens after your attempt
Correct Answer
A. अपरिमेय / Irrational
Step 1
Concept
(8) is not a perfect square, so \( \sqrt{8} \) is irrational. Check whether the number under the radical is a perfect square.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय / Irrational. (8) is not a perfect square, so \( \sqrt{8} \) is irrational. Check whether the number under the radical is a perfect square.
Step 3
Exam Tip
(8) पूर्ण वर्ग नहीं है, इसलिए \( \sqrt{8} \) अपरिमेय है। वर्गमूल में अंदर की संख्या पूर्ण वर्ग है या नहीं, यह देखें।
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\( \sqrt{81} \) के बारे में सही विकल्प कौन-सा है?
Which option is correct about \( \sqrt{81} \)?
#number-systems
#irrational-numbers
#perfect-square
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A यह अपरिमेय है / It is irrational
B यह असांत अनावर्ती है / It is non-terminating non-recurring
C यह परिमेय है / It is rational
D यह वास्तविक नहीं है / It is not real
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Correct Answer
C. यह परिमेय है / It is rational
Step 1
Concept
\( \sqrt{81}=9 \), so it is a rational number. Remember square roots of perfect squares.
Step 2
Why this answer is correct
The correct answer is C. यह परिमेय है / It is rational. \( \sqrt{81}=9 \), so it is a rational number. Remember square roots of perfect squares.
Step 3
Exam Tip
\( \sqrt{81}=9 \) है, इसलिए यह परिमेय संख्या है। पूर्ण वर्गों के वर्गमूल याद रखें।
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\( \sqrt{50} \) के बारे में सही कथन क्या है?
What is the correct statement about \( \sqrt{50} \)?
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A यह अपरिमेय है / It is irrational
B यह पूर्णांक है / It is an integer
C यह (5) के बराबर है / It is equal to (5)
D यह सांत दशमलव है / It is a terminating decimal
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Correct Answer
A. यह अपरिमेय है / It is irrational
Step 1
Concept
(50) is not a perfect square, so \( \sqrt{50} \) is irrational. Only the square root of a perfect square is an integer.
Step 2
Why this answer is correct
The correct answer is A. यह अपरिमेय है / It is irrational. (50) is not a perfect square, so \( \sqrt{50} \) is irrational. Only the square root of a perfect square is an integer.
Step 3
Exam Tip
(50) पूर्ण वर्ग नहीं है, इसलिए \( \sqrt{50} \) अपरिमेय है। केवल पूर्ण वर्ग का वर्गमूल पूर्णांक होता है।
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\( \sqrt{121} \) का सही वर्गीकरण क्या है?
What is the correct classification of \( \sqrt{121} \)?
#number-systems
#irrational-numbers
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A अपरिमेय / Irrational
B परिमेय / Rational
C असांत अनावर्ती / Non-terminating non-recurring
D वास्तविक नहीं / Not real
Explanation opens after your attempt
Correct Answer
B. परिमेय / Rational
Step 1
Concept
\( \sqrt{121}=11 \), so it is rational. The square root of a perfect square is an integer.
Step 2
Why this answer is correct
The correct answer is B. परिमेय / Rational. \( \sqrt{121}=11 \), so it is rational. The square root of a perfect square is an integer.
Step 3
Exam Tip
\( \sqrt{121}=11 \) है, इसलिए यह परिमेय है। पूर्ण वर्ग का वर्गमूल पूर्णांक होता है।
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कौन-सी संख्या \( \sqrt{n} \) के रूप में अपरिमेय है?
Which number in the form \( \sqrt{n} \) is irrational?
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A \( \sqrt{64} \)
B \( \sqrt{100} \)
C \( \sqrt{27} \)
D \( \sqrt{144} \)
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Correct Answer
C. \( \sqrt{27} \)
Step 1
Concept
(27) is not a perfect square, so \( \sqrt{27} \) is irrational. Distinguish perfect squares from non-perfect squares.
Step 2
Why this answer is correct
The correct answer is C. \( \sqrt{27} \). (27) is not a perfect square, so \( \sqrt{27} \) is irrational. Distinguish perfect squares from non-perfect squares.
Step 3
Exam Tip
(27) पूर्ण वर्ग नहीं है, इसलिए \( \sqrt{27} \) अपरिमेय है। पूर्ण वर्गों और अपूर्ण वर्गों में फर्क करें।
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\( \sqrt{0.04} \) किस प्रकार की संख्या है?
What type of number is \( \sqrt{0.04} \)?
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#irrational-numbers
#decimal-square-root
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A अपरिमेय / Irrational
B परिमेय / Rational
C असांत अनावर्ती / Non-terminating non-recurring
D ऋणात्मक / Negative
Explanation opens after your attempt
Correct Answer
B. परिमेय / Rational
Step 1
Concept
\( \sqrt{0.04}=0.2 \), and (0.2) is rational. Identify decimal perfect squares too.
Step 2
Why this answer is correct
The correct answer is B. परिमेय / Rational. \( \sqrt{0.04}=0.2 \), and (0.2) is rational. Identify decimal perfect squares too.
Step 3
Exam Tip
\( \sqrt{0.04}=0.2 \) है और (0.2) परिमेय है। दशमलव पूर्ण वर्गों को भी पहचानें।
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\( \sqrt{32} \) के बारे में सही विकल्प कौन-सा है?
Which option is correct about \( \sqrt{32} \)?
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A यह परिमेय है / It is rational
B यह अपरिमेय है / It is irrational
C यह (16) है / It is (16)
D यह (8) है / It is (8)
Explanation opens after your attempt
Correct Answer
B. यह अपरिमेय है / It is irrational
Step 1
Concept
(32) is not a perfect square, so \( \sqrt{32} \) is irrational. Check perfect squares when seeing a square root.
Step 2
Why this answer is correct
The correct answer is B. यह अपरिमेय है / It is irrational. (32) is not a perfect square, so \( \sqrt{32} \) is irrational. Check perfect squares when seeing a square root.
Step 3
Exam Tip
(32) पूर्ण वर्ग नहीं है, इसलिए \( \sqrt{32} \) अपरिमेय है। वर्गमूल देखते समय पूर्ण वर्ग जांचें।
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\( \sqrt{0.09} \) का सही वर्गीकरण क्या है?
What is the correct classification of \( \sqrt{0.09} \)?
#number-systems
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A अपरिमेय / Irrational
B परिमेय / Rational
C असांत अनावर्ती / Non-terminating non-recurring
D अवास्तविक / Non-real
Explanation opens after your attempt
Correct Answer
B. परिमेय / Rational
Step 1
Concept
\( \sqrt{0.09}=0.3 \), and (0.3) is rational. Square roots of decimal squares can also be rational.
Step 2
Why this answer is correct
The correct answer is B. परिमेय / Rational. \( \sqrt{0.09}=0.3 \), and (0.3) is rational. Square roots of decimal squares can also be rational.
Step 3
Exam Tip
\( \sqrt{0.09}=0.3 \) है और (0.3) परिमेय है। दशमलव वर्गों के वर्गमूल भी परिमेय हो सकते हैं।
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\( \sqrt{1} \) किस प्रकार की संख्या है?
What type of number is \( \sqrt{1} \)?
#number-systems
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A अपरिमेय / Irrational
B परिमेय / Rational
C असांत अनावर्ती / Non-terminating non-recurring
D ऋणात्मक / Negative
Explanation opens after your attempt
Correct Answer
B. परिमेय / Rational
Step 1
Concept
\( \sqrt{1}=1 \), and (1) is rational. Remember even the smallest perfect squares.
Step 2
Why this answer is correct
The correct answer is B. परिमेय / Rational. \( \sqrt{1}=1 \), and (1) is rational. Remember even the smallest perfect squares.
Step 3
Exam Tip
\( \sqrt{1}=1 \) है और (1) परिमेय है। सबसे छोटे पूर्ण वर्गों को भी ध्यान में रखें।
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कौन-सा विकल्प हमेशा परिमेय है?
Which option is always rational?
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A पूर्ण वर्ग का वर्गमूल / Square root of a perfect square
B अपूर्ण वर्ग का वर्गमूल / Square root of a non-perfect square
C \( \pi \) का गुणज / Multiple of \( \pi \)
D असांत अनावर्ती दशमलव / Non-terminating non-recurring decimal
Explanation opens after your attempt
Correct Answer
A. पूर्ण वर्ग का वर्गमूल / Square root of a perfect square
Step 1
Concept
The square root of a perfect square is an integer, so it is rational. For example, \( \sqrt{64}=8 \).
Step 2
Why this answer is correct
The correct answer is A. पूर्ण वर्ग का वर्गमूल / Square root of a perfect square. The square root of a perfect square is an integer, so it is rational. For example, \( \sqrt{64}=8 \).
Step 3
Exam Tip
पूर्ण वर्ग का वर्गमूल पूर्णांक होता है, इसलिए परिमेय होता है। जैसे \( \sqrt{64}=8 \)।
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