संख्या रेखा पर \(\sqrt{\frac{1}{2}}\) का सबसे अच्छा दशमलव अनुमान कौन सा है?
What is the best decimal estimate of \(\sqrt{\frac{1}{2}}\) on the number line?
#number-line
#square-root
#fraction
#estimation
A (0.5)
B (0.707)
C (1.2)
D (2)
Explanation opens after your attempt
Correct Answer
B. (0.707)
Step 1
Concept
\(\sqrt{\frac{1}{2}}\approx0.707\). In estimation, you can square the options to check.
Step 2
Why this answer is correct
The correct answer is B. (0.707). \(\sqrt{\frac{1}{2}}\approx0.707\). In estimation, you can square the options to check.
Step 3
Exam Tip
\(\sqrt{\frac{1}{2}}\approx0.707\) होता है। अनुमान में वर्ग करके विकल्प जांच सकते हैं।
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संख्या रेखा पर \(1-\sqrt{3}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(1-\sqrt{3}\) lie on the number line?
#number-line
#irrational-numbers
#subtraction
#estimation
A (-2) और (-1) / (-2) and (-1)
B (-1) और (0) / (-1) and (0)
C (0) और (1) / (0) and (1)
D (1) और (2) / (1) and (2)
Explanation opens after your attempt
Correct Answer
B. (-1) और (0) / (-1) and (0)
Step 1
Concept
\(\sqrt{3}\approx1.73\), so \(1-\sqrt{3}\approx-0.73\). It lies between (-1) and (0).
Step 2
Why this answer is correct
The correct answer is B. (-1) और (0) / (-1) and (0). \(\sqrt{3}\approx1.73\), so \(1-\sqrt{3}\approx-0.73\). It lies between (-1) and (0).
Step 3
Exam Tip
\(\sqrt{3}\approx1.73\), इसलिए \(1-\sqrt{3}\approx-0.73\) है। यह (-1) और (0) के बीच है।
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संख्या रेखा पर \(\sqrt{32}\) किस पूर्णांक के सबसे निकट है?
On the number line, \(\sqrt{32}\) is closest to which integer?
#number-line
#estimation
#square-root
#nearest-integer
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{32}\approx5.66\), so it is closer to (6). Compare distances for the nearest integer.
Step 2
Why this answer is correct
The correct answer is C. (6). \(\sqrt{32}\approx5.66\), so it is closer to (6). Compare distances for the nearest integer.
Step 3
Exam Tip
\(\sqrt{32}\approx5.66\) है इसलिए यह (6) के अधिक पास है। निकटतम पूर्णांक के लिए दूरी की तुलना करें।
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कौन सी संख्या संख्या रेखा पर \(\sqrt{3}\) और (2) के बीच स्थित है?
Which number lies between \(\sqrt{3}\) and (2) on the number line?
#number-line
#between
#irrational-numbers
#estimation
A (1.6)
B (1.8)
C (2.1)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{3}\approx1.73\), and (1.8) lies between (1.73) and (2). Use estimation to choose the middle value.
Step 2
Why this answer is correct
The correct answer is B. (1.8). \(\sqrt{3}\approx1.73\), and (1.8) lies between (1.73) and (2). Use estimation to choose the middle value.
Step 3
Exam Tip
\(\sqrt{3}\approx1.73\) है और (1.8), (1.73) तथा (2) के बीच है। अनुमान से बीच की संख्या चुनें।
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संख्या रेखा पर \(2+\sqrt{5}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(2+\sqrt{5}\) lie on the number line?
#number-line
#irrational-numbers
#addition
#estimation
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (4) और (5) / (4) and (5)
D (5) और (6) / (5) and (6)
Explanation opens after your attempt
Correct Answer
C. (4) और (5) / (4) and (5)
Step 1
Concept
\(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). \(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 3
Exam Tip
\(\sqrt{5}\approx2.24\), इसलिए \(2+\sqrt{5}\approx4.24\) है। यह (4) और (5) के बीच आता है।
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संख्या रेखा पर \(\sqrt{45}\) किस पूर्णांक के सबसे निकट होगा?
On the number line, \(\sqrt{45}\) will be closest to which integer?
#number-line
#estimation
#square-root
#nearest-integer
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{45}\) is about (6.7), so it is closer to (7). Nearby perfect squares (36) and (49) help in estimation.
Step 2
Why this answer is correct
The correct answer is C. (7). \(\sqrt{45}\) is about (6.7), so it is closer to (7). Nearby perfect squares (36) and (49) help in estimation.
Step 3
Exam Tip
\(\sqrt{45}\) लगभग (6.7) है इसलिए यह (7) के अधिक पास है। अनुमान में पास के पूर्ण वर्ग (36) और (49) उपयोगी हैं।
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संख्या रेखा पर कौन सा बिंदु \(\sqrt{6}\) के सबसे निकट है?
Which point is closest to \(\sqrt{6}\) on the number line?
#polynomials
#number-line
#estimation
#medium
A (2.2)
B (2.4)
C (2.8)
D (3.1)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{6}\) is about (2.45), so (2.4) is closest. In exams, think of \(2.4^2\) and \(2.5^2\) for estimation.
Step 2
Why this answer is correct
The correct answer is B. (2.4). \(\sqrt{6}\) is about (2.45), so (2.4) is closest. In exams, think of \(2.4^2\) and \(2.5^2\) for estimation.
Step 3
Exam Tip
\(\sqrt{6}\) लगभग (2.45) है, इसलिए (2.4) सबसे निकट है। परीक्षा में अनुमान के लिए \(2.4^2\) और \(2.5^2\) सोचें।
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संख्या रेखा पर \(\sqrt{20}\) किस पूर्णांक के सबसे निकट है?
On the number line, \(\sqrt{20}\) is closest to which integer?
#number-line
#nearest-integer
#square-root
#estimation
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{20}\) is about (4.47), so it is closer to (4). Place \(\sqrt{20}\) between (4) and (5) and compare distances.
Step 2
Why this answer is correct
The correct answer is B. (4). \(\sqrt{20}\) is about (4.47), so it is closer to (4). Place \(\sqrt{20}\) between (4) and (5) and compare distances.
Step 3
Exam Tip
\(\sqrt{20}\) लगभग (4.47) है इसलिए यह (4) के अधिक पास है। \(\sqrt{20}\) को (4) और (5) के बीच रखकर दूरी सोचें।
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संख्या रेखा पर \(\sqrt{3}\) का सबसे सही अनुमान कौन सा है?
Which is the most accurate estimate of \(\sqrt{3}\) on the number line?
#number-line
#square-root
#estimation
#irrational-numbers
A (1.1)
B (1.7)
C (2.3)
D (3.1)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{3}\) is about (1.732), so (1.7) is closest. For estimation place \(\sqrt{3}\) between (1) and (2).
Step 2
Why this answer is correct
The correct answer is B. (1.7). \(\sqrt{3}\) is about (1.732), so (1.7) is closest. For estimation place \(\sqrt{3}\) between (1) and (2).
Step 3
Exam Tip
\(\sqrt{3}\) लगभग (1.732) है इसलिए (1.7) सबसे पास है। अनुमान के लिए \(\sqrt{3}\) को (1) और (2) के बीच रखें।
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संख्या रेखा पर \(2-\sqrt{2}\) लगभग किस दो पूर्णांकों के बीच होगा?
Approximately between which two integers will \(2-\sqrt{2}\) lie on the number line?
#number-line
#irrational-numbers
#estimation
#subtraction
A किसी भी दो पूर्णांकों के बीच नहीं / Not between any two integers
B (0) और (1) / (0) and (1)
C (1) और (2) / (1) and (2)
D (2) और (3) / (2) and (3)
Explanation opens after your attempt
Correct Answer
B. (0) और (1) / (0) and (1)
Step 1
Concept
\(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 2
Why this answer is correct
The correct answer is B. (0) और (1) / (0) and (1). \(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.41) है इसलिए \(2-\sqrt{2}\) लगभग (0.59) होगा। यह (0) और (1) के बीच है।
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संख्या रेखा पर \(1+\sqrt{2}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(1+\sqrt{2}\) lie on the number line?
#number-line
#irrational-numbers
#translation
#estimation
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (3) और (4) / (3) and (4)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
B. (2) और (3) / (2) and (3)
Step 1
Concept
\(\sqrt{2}\) is about (1.41), so \(1+\sqrt{2}\) is about (2.41). It lies between (2) and (3).
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \(\sqrt{2}\) is about (1.41), so \(1+\sqrt{2}\) is about (2.41). It lies between (2) and (3).
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.41) है इसलिए \(1+\sqrt{2}\) लगभग (2.41) होगा। यह (2) और (3) के बीच है।
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संख्या रेखा पर \(\sqrt{18}\) के सबसे निकट कौन सा पूर्णांक है?
Which integer is closest to \(\sqrt{18}\) on the number line?
#number-line
#estimation
#square-root
#nearest-integer
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{18}\) is about (4.24), so it is closer to (4). For estimation, check nearby perfect squares (16) and (25).
Step 2
Why this answer is correct
The correct answer is B. (4). \(\sqrt{18}\) is about (4.24), so it is closer to (4). For estimation, check nearby perfect squares (16) and (25).
Step 3
Exam Tip
\(\sqrt{18}\) लगभग (4.24) है इसलिए यह (4) के अधिक पास है। अनुमान के लिए पास के पूर्ण वर्ग (16) और (25) देखें।
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संख्या रेखा पर \(\sqrt{13}\) किस दो पूर्णांकों के बीच स्थित होगा?
Between which two integers will \(\sqrt{13}\) lie on the number line?
#square-roots
#estimation
#number-line
A (3) और (4) / (3) and (4)
B (2) और (3) / (2) and (3)
C (4) और (5) / (4) and (5)
D (1) और (2) / (1) and (2)
Explanation opens after your attempt
Correct Answer
A. (3) और (4) / (3) and (4)
Step 1
Concept
Since \(3^2=9\) and \(4^2=16\), \(\sqrt{13}\) lies between (3) and (4). Use nearby perfect squares to locate square roots.
Step 2
Why this answer is correct
The correct answer is A. (3) और (4) / (3) and (4). Since \(3^2=9\) and \(4^2=16\), \(\sqrt{13}\) lies between (3) and (4). Use nearby perfect squares to locate square roots.
Step 3
Exam Tip
क्योंकि \(3^2=9\) और \(4^2=16\), इसलिए \(\sqrt{13}\) (3) और (4) के बीच है। वर्गमूल की स्थिति के लिए निकट पूर्ण वर्ग देखें।
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संख्या रेखा पर \(\sqrt{7}\) को किसके बीच रखा जाएगा?
Between which numbers will \(\sqrt{7}\) be placed on the number line?
#square-roots
#estimation
#number-line
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (1) और (2) / (1) and (2)
D (7) और (8) / (7) and (8)
Explanation opens after your attempt
Correct Answer
A. (2) और (3) / (2) and (3)
Step 1
Concept
Since \(2^2=4\) and \(3^2=9\), \(\sqrt{7}\) lies between (2) and (3). Bound the number using nearby squares.
Step 2
Why this answer is correct
The correct answer is A. (2) और (3) / (2) and (3). Since \(2^2=4\) and \(3^2=9\), \(\sqrt{7}\) lies between (2) and (3). Bound the number using nearby squares.
Step 3
Exam Tip
क्योंकि \(2^2=4\) और \(3^2=9\), इसलिए \(\sqrt{7}\) (2) और (3) के बीच है। संख्या को निकट वर्गों से घेरें।
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\(\sqrt{10}\) को संख्या रेखा पर रखने के लिए उसका मान किसके बीच होगा?
To place \(\sqrt{10}\) on the number line, its value will be between which numbers?
#square-roots
#estimation
#number-line
A (3) और (4) / (3) and (4)
B (2) और (3) / (2) and (3)
C (4) और (5) / (4) and (5)
D (1) और (2) / (1) and (2)
Explanation opens after your attempt
Correct Answer
A. (3) और (4) / (3) and (4)
Step 1
Concept
Since \(3^2=9\) and \(4^2=16\), \(\sqrt{10}\) lies between (3) and (4). Use perfect squares to locate square roots.
Step 2
Why this answer is correct
The correct answer is A. (3) और (4) / (3) and (4). Since \(3^2=9\) and \(4^2=16\), \(\sqrt{10}\) lies between (3) and (4). Use perfect squares to locate square roots.
Step 3
Exam Tip
क्योंकि \(3^2=9\) और \(4^2=16\), इसलिए \(\sqrt{10}\) (3) और (4) के बीच है। वर्गमूल की स्थिति पूर्ण वर्गों से पहचानें।
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कौन सा विकल्प \(\sqrt{99}\) और \(\sqrt{100}\) के बीच एक परिमेय संख्या है?
Which option is a rational number between \(\sqrt{99}\) and \(\sqrt{100}\)?
#number-line
#rational-number
#estimation
A (9.98)
B (10.1)
C (9.8)
D \(\sqrt{101}\)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{99}\) is about (9.95) and \(\sqrt{100}=10\). (9.98) is a rational number between them.
Step 2
Why this answer is correct
The correct answer is A. (9.98). \(\sqrt{99}\) is about (9.95) and \(\sqrt{100}=10\). (9.98) is a rational number between them.
Step 3
Exam Tip
\(\sqrt{99}\) लगभग (9.95) है और \(\sqrt{100}=10\) है। (9.98) इनके बीच की परिमेय संख्या है।
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कौन सा विकल्प \(\sqrt{11}\) के निकटतम दो पूर्णांकों को सही बताता है?
Which option correctly gives the two nearest integers between which \(\sqrt{11}\) lies?
#estimation
#square-root
#number-line
A (3) और (4) / (3) and (4)
B (2) और (3) / (2) and (3)
C (4) और (5) / (4) and (5)
D (10) और (11) / (10) and (11)
Explanation opens after your attempt
Correct Answer
A. (3) और (4) / (3) and (4)
Step 1
Concept
Since (9<11<16), \(3<\sqrt{11}<4\). Estimate using squares.
Step 2
Why this answer is correct
The correct answer is A. (3) और (4) / (3) and (4). Since (9<11<16), \(3<\sqrt{11}<4\). Estimate using squares.
Step 3
Exam Tip
क्योंकि (9<11<16) इसलिए \(3<\sqrt{11}<4\)। वर्गों की मदद से अनुमान लगाएँ।
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कौन सा विकल्प \(\sqrt{7}\) के निकटतम दो पूर्णांकों को सही बताता है?
Which option correctly gives the two nearest integers between which \(\sqrt{7}\) lies?
#estimation
#square-root
#number-line
A (2) और (3) / (2) and (3)
B (1) और (2) / (1) and (2)
C (3) और (4) / (3) and (4)
D (7) और (8) / (7) and (8)
Explanation opens after your attempt
Correct Answer
A. (2) और (3) / (2) and (3)
Step 1
Concept
Since (4<7<9), \(2<\sqrt{7}<3\). Locate roots using squares.
Step 2
Why this answer is correct
The correct answer is A. (2) और (3) / (2) and (3). Since (4<7<9), \(2<\sqrt{7}<3\). Locate roots using squares.
Step 3
Exam Tip
क्योंकि (4<7<9) इसलिए \(2<\sqrt{7}<3\)। जड़ की स्थिति वर्गों से पहचानें।
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कौन सा विकल्प \(\sqrt{2}\) के निकटतम दो पूर्णांकों को सही बताता है?
Which option correctly gives the two nearest integers between which \(\sqrt{2}\) lies?
#number-line
#square-root
#estimation
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (0) और (1) / (0) and (1)
D (3) और (4) / (3) and (4)
Explanation opens after your attempt
Correct Answer
A. (1) और (2) / (1) and (2)
Step 1
Concept
Since (1<2<4), \(1<\sqrt{2}<2\). Use squares to locate roots.
Step 2
Why this answer is correct
The correct answer is A. (1) और (2) / (1) and (2). Since (1<2<4), \(1<\sqrt{2}<2\). Use squares to locate roots.
Step 3
Exam Tip
क्योंकि (1<2<4) इसलिए \(1<\sqrt{2}<2\)। वर्गों से जड़ की स्थिति पहचानें।
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