संख्या रेखा पर \( \sqrt{156} \) किस पूर्णांक के सबसे निकट है?
On the number line, \( \sqrt{156} \) is closest to which integer?
#number-line
#nearest-integer
#square-root
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{156}\approx12.49 \), so it is slightly closer to (12). Check distance for the nearest integer.
Step 2
Why this answer is correct
The correct answer is B. (12). \( \sqrt{156}\approx12.49 \), so it is slightly closer to (12). Check distance for the nearest integer.
Step 3
Exam Tip
\( \sqrt{156}\approx12.49 \), इसलिए यह (12) के थोड़ा अधिक निकट है। निकटतम पूर्णांक के लिए दूरी जाँचें।
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किस विकल्प में \( \sqrt{86} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?
Which option gives the correct decimal bound for \( \sqrt{86} \) on the number line?
#number-line
#decimal-bounds
#square-root
A \(9.1<\sqrt{86}<9.2\)
B \(9.2<\sqrt{86}<9.3\)
C \(9.3<\sqrt{86}<9.4\)
D \(9.4<\sqrt{86}<9.5\)
Explanation opens after your attempt
Correct Answer
B. \(9.2<\sqrt{86}<9.3\)
Step 1
Concept
\(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.
Step 2
Why this answer is correct
The correct answer is B. \(9.2<\sqrt{86}<9.3\). \(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.
Step 3
Exam Tip
\(9.2^2=84.64\) और \(9.3^2=86.49\), इसलिए \( \sqrt{86} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।
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संख्या रेखा पर \( \sqrt{199} \) के सबसे निकट कौन सा दशमलव मान है?
Which decimal value is closest to \( \sqrt{199} \) on the number line?
#number-line
#estimation
#square-root
A (14.10)
B (14.35)
C (13.90)
D (14.90)
Explanation opens after your attempt
Correct Answer
A. (14.10)
Step 1
Concept
\( \sqrt{199}\approx14.11 \), so (14.10) is closest. Check nearby squares for large roots.
Step 2
Why this answer is correct
The correct answer is A. (14.10). \( \sqrt{199}\approx14.11 \), so (14.10) is closest. Check nearby squares for large roots.
Step 3
Exam Tip
\( \sqrt{199}\approx14.11 \), इसलिए (14.10) सबसे निकट है। बड़े मूलों में निकट वर्गों से जाँच करें।
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संख्या रेखा पर \( \sqrt{132} \) किस पूर्णांक के सबसे निकट है?
On the number line, \( \sqrt{132} \) is closest to which integer?
#number-line
#nearest-integer
#square-root
A (10)
B (11)
C (12)
D (13)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{132}\approx11.49 \), so it is slightly closer to (11). Check distance for the nearest integer.
Step 2
Why this answer is correct
The correct answer is B. (11). \( \sqrt{132}\approx11.49 \), so it is slightly closer to (11). Check distance for the nearest integer.
Step 3
Exam Tip
\( \sqrt{132}\approx11.49 \), इसलिए यह (11) के थोड़ा अधिक निकट है। निकटतम पूर्णांक के लिए दूरी जाँचें।
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किस विकल्प में \( \sqrt{57} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?
Which option gives the correct decimal bound for \( \sqrt{57} \) on the number line?
#number-line
#decimal-bounds
#square-root
A \(7.4<\sqrt{57}<7.5\)
B \(7.5<\sqrt{57}<7.6\)
C \(7.6<\sqrt{57}<7.7\)
D \(7.7<\sqrt{57}<7.8\)
Explanation opens after your attempt
Correct Answer
B. \(7.5<\sqrt{57}<7.6\)
Step 1
Concept
\(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.
Step 2
Why this answer is correct
The correct answer is B. \(7.5<\sqrt{57}<7.6\). \(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.
Step 3
Exam Tip
\(7.5^2=56.25\) और \(7.6^2=57.76\), इसलिए \( \sqrt{57} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।
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संख्या रेखा पर \( \sqrt{143} \) के सबसे निकट कौन सा दशमलव मान है?
Which decimal value is closest to \( \sqrt{143} \) on the number line?
#number-line
#estimation
#square-root
A (11.96)
B (12.20)
C (11.50)
D (12.50)
Explanation opens after your attempt
Correct Answer
A. (11.96)
Step 1
Concept
\( \sqrt{143}\approx11.96 \) because \(11.96^2\) is close to (143). Check nearby squares for large roots.
Step 2
Why this answer is correct
The correct answer is A. (11.96). \( \sqrt{143}\approx11.96 \) because \(11.96^2\) is close to (143). Check nearby squares for large roots.
Step 3
Exam Tip
\( \sqrt{143}\approx11.96 \) क्योंकि \(11.96^2\) लगभग (143) है। बड़े मूलों में निकट वर्गों से जाँच करें।
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संख्या रेखा पर \( \sqrt{98} \) किस पूर्णांक के सबसे निकट है?
On the number line, \( \sqrt{98} \) is closest to which integer?
#number-line
#nearest-integer
#square-root
A (8)
B (9)
C (10)
D (11)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{98}\approx9.899 \), so it is closest to (10). Check distance for the nearest integer.
Step 2
Why this answer is correct
The correct answer is C. (10). \( \sqrt{98}\approx9.899 \), so it is closest to (10). Check distance for the nearest integer.
Step 3
Exam Tip
\( \sqrt{98}\approx9.899 \), इसलिए यह (10) के सबसे निकट है। निकटतम पूर्णांक के लिए दूरी देखें।
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किस विकल्प में \( \sqrt{30} \) की सही दशमलव सीमा दी गई है?
Which option gives the correct decimal bound for \( \sqrt{30} \)?
#number-line
#decimal-bounds
#square-root
A \(5.3<\sqrt{30}<5.4\)
B \(5.4<\sqrt{30}<5.5\)
C \(5.5<\sqrt{30}<5.6\)
D \(5.6<\sqrt{30}<5.7\)
Explanation opens after your attempt
Correct Answer
B. \(5.4<\sqrt{30}<5.5\)
Step 1
Concept
\(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.
Step 2
Why this answer is correct
The correct answer is B. \(5.4<\sqrt{30}<5.5\). \(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.
Step 3
Exam Tip
\(5.4^2=29.16\) और \(5.5^2=30.25\), इसलिए \( \sqrt{30} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।
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संख्या रेखा पर \( \sqrt{90} \) किस पूर्णांक के सबसे निकट है?
On the number line, \( \sqrt{90} \) is closest to which integer?
#number-line
#nearest-integer
#square-root
A (9)
B (10)
C (8)
D (11)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{90}\approx9.49 \), which is closer to (10) than to (9). Check distance for the nearest integer.
Step 2
Why this answer is correct
The correct answer is B. (10). \( \sqrt{90}\approx9.49 \), which is closer to (10) than to (9). Check distance for the nearest integer.
Step 3
Exam Tip
\( \sqrt{90}\approx9.49 \) है जो (9) की तुलना में (10) के अधिक निकट है। निकटतम पूर्णांक के लिए दूरी जाँचें।
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किस विकल्प में \( \sqrt{24} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?
Which option gives the correct decimal bound for \( \sqrt{24} \) on the number line?
#number-line
#decimal-bounds
#square-root
A \(4.8<\sqrt{24}<4.9\)
B \(4.6<\sqrt{24}<4.7\)
C \(5.0<\sqrt{24}<5.1\)
D \(3.8<\sqrt{24}<3.9\)
Explanation opens after your attempt
Correct Answer
A. \(4.8<\sqrt{24}<4.9\)
Step 1
Concept
\(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.
Step 2
Why this answer is correct
The correct answer is A. \(4.8<\sqrt{24}<4.9\). \(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.
Step 3
Exam Tip
\(4.8^2=23.04\) और \(4.9^2=24.01\) है। इसलिए \( \sqrt{24} \) इनके बीच है।
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संख्या रेखा पर \( \sqrt{63} \) के सबसे निकट कौन सा दशमलव मान है?
Which decimal value is closest to \( \sqrt{63} \) on the number line?
#number-line
#estimation
#square-root
A (7.94)
B (7.50)
C (8.20)
D (6.90)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{63}\approx7.94 \) because \(7.94^2\) is close to (63). Check nearby squares for large roots.
Step 2
Why this answer is correct
The correct answer is A. (7.94). \( \sqrt{63}\approx7.94 \) because \(7.94^2\) is close to (63). Check nearby squares for large roots.
Step 3
Exam Tip
\( \sqrt{63}\approx7.94 \) क्योंकि \(7.94^2\) लगभग (63) है। बड़े मूलों में निकट वर्ग जाँचें।
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यदि संख्या रेखा पर \(A=\sqrt{14}\) और (B=4) हैं, तो (A) और (B) के बीच कौन सा मान स्थित है?
If \(A=\sqrt{14}\) and (B=4) on the number line, which value lies between (A) and (B)?
#number-line
#between-numbers
#square-root
A (3.8)
B (3.6)
C (4.2)
D (3.5)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{14}\approx3.742\), so (3.8) lies between it and (4). Decimal estimation is important for nearby square roots.
Step 2
Why this answer is correct
The correct answer is A. (3.8). \( \sqrt{14}\approx3.742\), so (3.8) lies between it and (4). Decimal estimation is important for nearby square roots.
Step 3
Exam Tip
\( \sqrt{14}\approx3.742\), इसलिए (3.8) इसके और (4) के बीच है। निकट वर्गमूलों में दशमलव अनुमान जरूरी है।
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संख्या रेखा पर \( \sqrt{2} \) बनाने की ज्यामितीय विधि में किस लंबाई को कर्ण के रूप में लिया जाता है?
In the geometric construction of \( \sqrt{2} \) on the number line, which length is taken as the hypotenuse?
#number-line
#geometric-construction
#square-root
A \( \sqrt{1^2+1^2}\)
B (1+1)
C \( \sqrt{2^2+2^2}\)
D \(2^2\)
Explanation opens after your attempt
Correct Answer
A. \( \sqrt{1^2+1^2}\)
Step 1
Concept
With perpendicular sides (1) and (1), the hypotenuse is \( \sqrt{2}\). Understand the construction using Pythagoras theorem.
Step 2
Why this answer is correct
The correct answer is A. \( \sqrt{1^2+1^2}\). With perpendicular sides (1) and (1), the hypotenuse is \( \sqrt{2}\). Understand the construction using Pythagoras theorem.
Step 3
Exam Tip
समकोण त्रिभुज में भुजाएँ (1) और (1) लेने पर कर्ण \( \sqrt{2}\) होता है। पायथागोरस प्रमेय से निर्माण समझें।
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यदि (x) संख्या रेखा पर (2.6) और (2.7) के बीच है, तो \(x=\sqrt{7}\) के लिए कौन-सा परीक्षण सही है?
If (x) lies between (2.6) and (2.7), which test is correct for \(x=\sqrt{7}\)?
#polynomials
#number-line
#decimal-bound
#square-root
A \(2.6^2<7<2.7^2\)
B \(2.7^2<7<2.6^2\)
C \(7<2.6^2\)
D \(7>2.7^2\)
Explanation opens after your attempt
Correct Answer
A. \(2.6^2<7<2.7^2\)
Step 1
Concept
\(2.6^2=6.76\) and \(2.7^2=7.29\), so \(\sqrt{7}\) lies between them. Check an estimate by squaring.
Step 2
Why this answer is correct
The correct answer is A. \(2.6^2<7<2.7^2\). \(2.6^2=6.76\) and \(2.7^2=7.29\), so \(\sqrt{7}\) lies between them. Check an estimate by squaring.
Step 3
Exam Tip
\(2.6^2=6.76\) और \(2.7^2=7.29\), इसलिए \(\sqrt{7}\) इनके बीच है। अनुमान को वर्ग करके जाँचें।
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यदि \(\sqrt{n}\) संख्या रेखा पर (5) और (6) के बीच है, तो (n) के लिए कौन-सा मान संभव है?
If \(\sqrt{n}\) lies between (5) and (6) on the number line, which value of (n) is possible?
#polynomials
#number-line
#inequality
#square-root
A (30)
B (24)
C (36)
D (49)
Explanation opens after your attempt
Step 1
Concept
From \(5<\sqrt{n}<6\), we get (25<n<36), so (30) is possible. Square positive sides in square-root inequalities.
Step 2
Why this answer is correct
The correct answer is A. (30). From \(5<\sqrt{n}<6\), we get (25<n<36), so (30) is possible. Square positive sides in square-root inequalities.
Step 3
Exam Tip
\(5<\sqrt{n}<6\) से (25<n<36), इसलिए (30) संभव है। वर्गमूल असमानता में धनात्मक पक्षों का वर्ग लें।
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कौन-सी संख्या रेखा पर \(\sqrt{6}\) के सबसे निकट है?
Which number is closest to \(\sqrt{6}\) on the number line?
#polynomials
#number-line
#approximation
#square-root
A (2.45)
B (2.10)
C (2.90)
D (3.20)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{6}\approx2.449\), so (2.45) is closest. To test closeness, compare differences from the approximate value.
Step 2
Why this answer is correct
The correct answer is A. (2.45). \(\sqrt{6}\approx2.449\), so (2.45) is closest. To test closeness, compare differences from the approximate value.
Step 3
Exam Tip
\(\sqrt{6}\approx2.449\), इसलिए (2.45) सबसे निकट है। निकटता के लिए अनुमानित मान से अंतर जाँचें।
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किस विकल्प में \(\sqrt{20}\) का संख्या रेखा पर सही अंतराल दिया गया है?
Which option gives the correct interval for \(\sqrt{20}\) on the number line?
#polynomials
#number-line
#square-root
#interval
A ((4,5))
B ((3,4))
C ((5,6))
D ((2,3))
Explanation opens after your attempt
Correct Answer
A. ((4,5))
Step 1
Concept
Because \(4^2=16\) and \(5^2=25\), \(4<\sqrt{20}<5\). Perfect-square bounds quickly give the interval.
Step 2
Why this answer is correct
The correct answer is A. ((4,5)). Because \(4^2=16\) and \(5^2=25\), \(4<\sqrt{20}<5\). Perfect-square bounds quickly give the interval.
Step 3
Exam Tip
क्योंकि \(4^2=16\) और \(5^2=25\), इसलिए \(4<\sqrt{20}<5\)। पूर्ण वर्गों की सीमा तुरंत अंतराल देती है।
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यदि \(\sqrt{10}\) को संख्या रेखा पर रखा जाए, तो वह किन दो पूर्णांकों के बीच होगा?
If \(\sqrt{10}\) is placed on the number line, between which two integers will it lie?
#polynomials
#number-line
#square-root
#integer-interval
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
Because \(3^2=9\) and \(4^2=16\), \(3<\sqrt{10}<4\). First find the nearest perfect squares.
Step 2
Why this answer is correct
The correct answer is A. (3) और (4) / (3) and (4). Because \(3^2=9\) and \(4^2=16\), \(3<\sqrt{10}<4\). First find the nearest perfect squares.
Step 3
Exam Tip
क्योंकि \(3^2=9\) और \(4^2=16\), इसलिए \(3<\sqrt{10}<4\)। पहले निकटतम पूर्ण वर्ग खोजें।
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यदि (A) संख्या रेखा पर (1.4) और (1.5) के बीच है और \(A=\sqrt{2}\) है, तो सबसे सही कथन कौन-सा है?
If (A) lies between (1.4) and (1.5) on the number line and \(A=\sqrt{2}\), which statement is most correct?
#polynomials
#number-line
#decimal-approximation
#square-root
A \(1.4<\sqrt{2}<1.5\)
B \(1.5<\sqrt{2}<1.6\)
C \(\sqrt{2}<1.4\)
D \(\sqrt{2}>2\)
Explanation opens after your attempt
Correct Answer
A. \(1.4<\sqrt{2}<1.5\)
Step 1
Concept
Because \(1.4^2=1.96\) and \(1.5^2=2.25\), \(\sqrt{2}\) lies between them. For hard questions, use squares of decimals.
Step 2
Why this answer is correct
The correct answer is A. \(1.4<\sqrt{2}<1.5\). Because \(1.4^2=1.96\) and \(1.5^2=2.25\), \(\sqrt{2}\) lies between them. For hard questions, use squares of decimals.
Step 3
Exam Tip
क्योंकि \(1.4^2=1.96\) और \(1.5^2=2.25\), इसलिए \(\sqrt{2}\) इनके बीच है। कठिन प्रश्नों में दशमलव के वर्ग का प्रयोग करें।
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संख्या रेखा पर \(\sqrt{37}-6\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(\sqrt{37}-6\) lie on the number line?
#number-line
#square-root
#interval
#reasoning
A (0) और (1) / (0) and (1)
B (1) और (2) / (1) and (2)
C (-1) और (0) / (-1) and (0)
D (-2) और (-1) / (-2) and (-1)
Explanation opens after your attempt
Correct Answer
A. (0) और (1) / (0) and (1)
Step 1
Concept
Since \(6^2<37<7^2\), \(6<\sqrt{37}<7\) and \(0<\sqrt{37}-6<1\). Subtract the same number from a root interval to locate the value.
Step 2
Why this answer is correct
The correct answer is A. (0) और (1) / (0) and (1). Since \(6^2<37<7^2\), \(6<\sqrt{37}<7\) and \(0<\sqrt{37}-6<1\). Subtract the same number from a root interval to locate the value.
Step 3
Exam Tip
क्योंकि \(6^2<37<7^2\), इसलिए \(6<\sqrt{37}<7\) और \(0<\sqrt{37}-6<1\) है। वर्गमूल वाले अंतराल में समान संख्या घटाकर स्थिति पाएं।
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संख्या रेखा पर \(\sqrt{24}\) के बारे में कौन सा कथन गलत है?
Which statement about \(\sqrt{24}\) on the number line is false?
#number-line
#common-mistake
#square-root
#false-statement
A \(\sqrt{24}\) (4) और (5) के बीच है / \(\sqrt{24}\) is between (4) and (5)
B \(\sqrt{24}<5\)
C \(\sqrt{24}>4\)
D \(\sqrt{24}=24\)
Explanation opens after your attempt
Correct Answer
D. \(\sqrt{24}=24\)
Step 1
Concept
Since \(4^2<24<5^2\), \(\sqrt{24}\) is between (4) and (5) and is not equal to (24). Do not treat a square root as the original number.
Step 2
Why this answer is correct
The correct answer is D. \(\sqrt{24}=24\). Since \(4^2<24<5^2\), \(\sqrt{24}\) is between (4) and (5) and is not equal to (24). Do not treat a square root as the original number.
Step 3
Exam Tip
क्योंकि \(4^2<24<5^2\), इसलिए \(\sqrt{24}\) (4) और (5) के बीच है और (24) के बराबर नहीं है। वर्गमूल को मूल संख्या न मानें।
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इनमें से कौन सा मान संख्या रेखा पर (2) के सबसे निकट है?
Which of these values is closest to (2) on the number line?
#number-line
#closeness
#square-root
#estimation
A \(\sqrt{3}\)
B \(\sqrt{5}\)
C \(\sqrt{6}\)
D (1.2)
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{5}\)
Step 1
Concept
\(\sqrt{5}\approx2.24\), which is closest to (2) among the options. Compare each distance for closeness.
Step 2
Why this answer is correct
The correct answer is B. \(\sqrt{5}\). \(\sqrt{5}\approx2.24\), which is closest to (2) among the options. Compare each distance for closeness.
Step 3
Exam Tip
\(\sqrt{5}\approx2.24\), जो दिए गए विकल्पों में (2) के सबसे पास है। निकटता के लिए प्रत्येक दूरी की तुलना करें।
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संख्या रेखा पर \(\sqrt{1}\), \(\sqrt{2}\), और \(\sqrt{3}\) का बढ़ता क्रम क्या है?
What is the increasing order of \(\sqrt{1}\), \(\sqrt{2}\), and \(\sqrt{3}\) on the number line?
#number-line
#square-root
#increasing-order
#comparison
A \(\sqrt{3},\sqrt{2},\sqrt{1}\)
B \(\sqrt{1},\sqrt{2},\sqrt{3}\)
C \(\sqrt{2},\sqrt{1},\sqrt{3}\)
D \(\sqrt{1},\sqrt{3},\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{1},\sqrt{2},\sqrt{3}\)
Step 1
Concept
For positive numbers, (1<2<3) gives \(\sqrt{1}<\sqrt{2}<\sqrt{3}\). Square root preserves order.
Step 2
Why this answer is correct
The correct answer is B. \(\sqrt{1},\sqrt{2},\sqrt{3}\). For positive numbers, (1<2<3) gives \(\sqrt{1}<\sqrt{2}<\sqrt{3}\). Square root preserves order.
Step 3
Exam Tip
धनात्मक संख्याओं के लिए (1<2<3) होने पर \(\sqrt{1}<\sqrt{2}<\sqrt{3}\) है। वर्गमूल क्रम को बनाए रखता है।
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यदि \(\sqrt{a}\) संख्या रेखा पर ठीक (4.5) पर है तो (a) का मान क्या होगा?
If \(\sqrt{a}\) is exactly at (4.5) on the number line, what will be the value of (a)?
#number-line
#square-root
#equation
#decimals
A (9)
B (18)
C (20.25)
D (22.5)
Explanation opens after your attempt
Correct Answer
C. (20.25)
Step 1
Concept
If \(\sqrt{a}=4.5\), then (a=(4.5)2 =20.25). Square both sides to remove the square root.
Step 2
Why this answer is correct
The correct answer is C. (20.25). If \(\sqrt{a}=4.5\), then (a=(4.5)2 =20.25). Square both sides to remove the square root.
Step 3
Exam Tip
\(\sqrt{a}=4.5\) होने पर (a=(4.5)2 =20.25) है। वर्गमूल हटाने के लिए वर्ग करें।
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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 \(\sqrt{15}\) और (4) के बीच कौन सा संबंध सही है?
Which relation between \(\sqrt{15}\) and (4) is correct on the number line?
#number-line
#square-root
#comparison
#inequality
A \(\sqrt{15}<4\)
B \(\sqrt{15}=4\)
C \(\sqrt{15}>4\)
D \(\sqrt{15}=15\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{15}<4\)
Step 1
Concept
Since (15<16), \(\sqrt{15}<4\). Compare using the nearby perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{15}<4\). Since (15<16), \(\sqrt{15}<4\). Compare using the nearby perfect square.
Step 3
Exam Tip
क्योंकि (15<16), इसलिए \(\sqrt{15}<4\) है। तुलना के लिए पूर्ण वर्ग से मिलाएं।
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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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संख्या रेखा पर \(\sqrt{29}\) बनाने के लिए समकोण त्रिभुज की कौन सी दो लंब भुजाएं सही हो सकती हैं?
To construct \(\sqrt{29}\) on the number line, which two perpendicular sides of a right triangle can be correct?
#number-line
#construction
#pythagoras
#square-root
A (5) और (2) / (5) and (2)
B (4) और (4) / (4) and (4)
C (3) और (5) / (3) and (5)
D (6) और (1) / (6) and (1)
Explanation opens after your attempt
Correct Answer
A. (5) और (2) / (5) and (2)
Step 1
Concept
\(5^2+2^2=29\), so the hypotenuse will be \(\sqrt{29}\). Check the sum of squares of the sides.
Step 2
Why this answer is correct
The correct answer is A. (5) और (2) / (5) and (2). \(5^2+2^2=29\), so the hypotenuse will be \(\sqrt{29}\). Check the sum of squares of the sides.
Step 3
Exam Tip
\(5^2+2^2=29\), इसलिए कर्ण \(\sqrt{29}\) होगा। भुजाओं के वर्गों का योग जांचें।
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यदि \(\sqrt{n}\) संख्या रेखा पर (6) और (7) के बीच है तो (n) का कौन सा मान संभव है?
If \(\sqrt{n}\) lies between (6) and (7) on the number line, which value of (n) is possible?
#number-line
#square-root
#inequality
#reasoning
A (30)
B (35)
C (40)
D (50)
Explanation opens after your attempt
Step 1
Concept
For this, (36<n<49) is needed, and (40) lies in this range. Square the root bounds to check.
Step 2
Why this answer is correct
The correct answer is C. (40). For this, (36<n<49) is needed, and (40) lies in this range. Square the root bounds to check.
Step 3
Exam Tip
इसके लिए (36<n<49) होना चाहिए और (40) इसी सीमा में है। वर्गमूल की सीमा को वर्ग करके जांचें।
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संख्या रेखा पर \(\sqrt{50}\) किस दो पूर्णांकों के बीच स्थित होगा?
Between which two integers will \(\sqrt{50}\) be located on the number line?
#number-line
#square-root
#interval
#comparison
A (5) और (6) / (5) and (6)
B (6) और (7) / (6) and (7)
C (7) और (8) / (7) and (8)
D (8) और (9) / (8) and (9)
Explanation opens after your attempt
Correct Answer
C. (7) और (8) / (7) and (8)
Step 1
Concept
Since \(7^2<50<8^2\), \(\sqrt{50}\) lies between (7) and (8). Use perfect squares to decide the interval.
Step 2
Why this answer is correct
The correct answer is C. (7) और (8) / (7) and (8). Since \(7^2<50<8^2\), \(\sqrt{50}\) lies between (7) and (8). Use perfect squares to decide the interval.
Step 3
Exam Tip
क्योंकि \(7^2<50<8^2\), इसलिए \(\sqrt{50}\) (7) और (8) के बीच है। पूर्ण वर्गों से अंतराल तय करें।
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