52 results found for "estimation" in Class 10.
संख्या रेखा पर \( \sqrt{18}-\sqrt{17} \) का सबसे उचित अनुमान कौन सा है?
Which is the most suitable estimate of \( \sqrt{18}-\sqrt{17} \) on the number line?
#number-line
#root-difference
#estimation
A (0.02)
B (0.12)
C (0.50)
D (1.00)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{18}\approx4.243 \) and \( \sqrt{17}\approx4.123 \), so the difference is about (0.12). The difference of nearby roots is small.
Step 2
Why this answer is correct
The correct answer is B. (0.12). \( \sqrt{18}\approx4.243 \) and \( \sqrt{17}\approx4.123 \), so the difference is about (0.12). The difference of nearby roots is small.
Step 3
Exam Tip
\( \sqrt{18}\approx4.243 \) और \( \sqrt{17}\approx4.123 \), इसलिए अंतर लगभग (0.12) है। पास-पास मूलों का अंतर छोटा होता है।
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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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यदि \(p=-\sqrt{99}+4\), तो (p) संख्या रेखा पर किस अंतराल में होगा?
If \(p=-\sqrt{99}+4\), in which interval will (p) lie on the number line?
#number-line
#negative-expression
#estimation
A ( -7 ) और ( -6 ) के बीच / Between ( -7 ) and ( -6 )
B ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 )
C ( -5 ) और ( -4 ) के बीच / Between ( -5 ) and ( -4 )
D (5) और (6) के बीच / Between (5) and (6)
Explanation opens after your attempt
Correct Answer
B. ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 )
Step 1
Concept
\( \sqrt{99}\approx9.95 \), so \(p\approx-5.95\). Hence it lies between (-6) and (-5).
Step 2
Why this answer is correct
The correct answer is B. ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 ). \( \sqrt{99}\approx9.95 \), so \(p\approx-5.95\). Hence it lies between (-6) and (-5).
Step 3
Exam Tip
\( \sqrt{99}\approx9.95 \), इसलिए \(p\approx-5.95\) है। अतः यह (-6) और (-5) के बीच होगा।
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यदि \( \sqrt{n} \) संख्या रेखा पर (8.4) और (8.5) के बीच है, तो (n) के लिए कौन सा मान सही हो सकता है?
If \( \sqrt{n} \) lies between (8.4) and (8.5) on the number line, which value of (n) can be correct?
#number-line
#root-inequality
#estimation
A (69)
B (70)
C (71)
D (73)
Explanation opens after your attempt
Step 1
Concept
\(8.4^2=70.56\) and \(8.5^2=72.25\), so (n) must lie between them. (71) is in the correct range.
Step 2
Why this answer is correct
The correct answer is C. (71). \(8.4^2=70.56\) and \(8.5^2=72.25\), so (n) must lie between them. (71) is in the correct range.
Step 3
Exam Tip
\(8.4^2=70.56\) और \(8.5^2=72.25\), इसलिए (n) इनके बीच होना चाहिए। (71) सही सीमा में है।
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कौन सा मान संख्या रेखा पर \( \sqrt{48} \) और \( \sqrt{49} \) के बीच स्थित है?
Which value lies between \( \sqrt{48} \) and \( \sqrt{49} \) on the number line?
#number-line
#between-roots
#estimation
A (6.8)
B (6.95)
C (7.05)
D (6.6)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{48}\approx6.928 \) and \( \sqrt{49}=7 \), so (6.95) lies between them. Use accurate estimation for close roots.
Step 2
Why this answer is correct
The correct answer is B. (6.95). \( \sqrt{48}\approx6.928 \) and \( \sqrt{49}=7 \), so (6.95) lies between them. Use accurate estimation for close roots.
Step 3
Exam Tip
\( \sqrt{48}\approx6.928 \) और \( \sqrt{49}=7 \), इसलिए (6.95) इनके बीच है। पास-पास मूलों में सटीक अनुमान करें।
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संख्या रेखा पर \( \sqrt{126}-\sqrt{80} \) किस दो लगातार पूर्णांकों के बीच स्थित है?
Between which two consecutive integers does \( \sqrt{126}-\sqrt{80} \) lie on the number line?
#number-line
#irrational-difference
#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
\( \sqrt{126}\approx11.22 \) and \( \sqrt{80}\approx8.94 \), so the difference is about (2.28). Estimate both square roots first.
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \( \sqrt{126}\approx11.22 \) and \( \sqrt{80}\approx8.94 \), so the difference is about (2.28). Estimate both square roots first.
Step 3
Exam Tip
\( \sqrt{126}\approx11.22 \) और \( \sqrt{80}\approx8.94 \), इसलिए अंतर लगभग (2.28) है। पहले दोनों वर्गमूलों का अनुमान करें।
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संख्या रेखा पर \( \sqrt{11}-\sqrt{10} \) का सबसे उचित अनुमान कौन सा है?
Which is the most suitable estimate of \( \sqrt{11}-\sqrt{10} \) on the number line?
#number-line
#root-difference
#estimation
A (0.05)
B (0.15)
C (0.50)
D (1.00)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{11}\approx3.317 \) and \( \sqrt{10}\approx3.162 \), so the difference is about (0.155). The difference of nearby roots is small.
Step 2
Why this answer is correct
The correct answer is B. (0.15). \( \sqrt{11}\approx3.317 \) and \( \sqrt{10}\approx3.162 \), so the difference is about (0.155). The difference of nearby roots is small.
Step 3
Exam Tip
\( \sqrt{11}\approx3.317 \) और \( \sqrt{10}\approx3.162 \), इसलिए अंतर लगभग (0.155) है। पास-पास मूलों का अंतर छोटा होता है।
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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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यदि \(p=-\sqrt{68}+3\), तो (p) संख्या रेखा पर किस अंतराल में होगा?
If \(p=-\sqrt{68}+3\), in which interval will (p) lie on the number line?
#number-line
#negative-expression
#estimation
A ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 )
B ( -5 ) और ( -4 ) के बीच / Between ( -5 ) and ( -4 )
C ( -4 ) और ( -3 ) के बीच / Between ( -4 ) and ( -3 )
D (4) और (5) के बीच / Between (4) and (5)
Explanation opens after your attempt
Correct Answer
A. ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 )
Step 1
Concept
\( \sqrt{68}\approx8.246 \), so \(p\approx-5.246\). Hence it lies between (-6) and (-5).
Step 2
Why this answer is correct
The correct answer is A. ( -6 ) और ( -5 ) के बीच / Between ( -6 ) and ( -5 ). \( \sqrt{68}\approx8.246 \), so \(p\approx-5.246\). Hence it lies between (-6) and (-5).
Step 3
Exam Tip
\( \sqrt{68}\approx8.246 \), इसलिए \(p\approx-5.246\) है। इसलिए यह (-6) और (-5) के बीच है।
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यदि \( \sqrt{n} \) संख्या रेखा पर (7.2) और (7.3) के बीच है, तो (n) के लिए कौन सा मान सही हो सकता है?
If \( \sqrt{n} \) lies between (7.2) and (7.3) on the number line, which value of (n) can be correct?
#number-line
#root-inequality
#estimation
A (51)
B (52)
C (54)
D (50)
Explanation opens after your attempt
Step 1
Concept
\(7.2^2=51.84\) and \(7.3^2=53.29\), so (n) must lie between them. (52) is in the correct range.
Step 2
Why this answer is correct
The correct answer is B. (52). \(7.2^2=51.84\) and \(7.3^2=53.29\), so (n) must lie between them. (52) is in the correct range.
Step 3
Exam Tip
\(7.2^2=51.84\) और \(7.3^2=53.29\), इसलिए (n) इनके बीच होना चाहिए। (52) सही सीमा में है।
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कौन सा मान संख्या रेखा पर \( \sqrt{33} \) और \( \sqrt{34} \) के बीच स्थित है?
Which value lies between \( \sqrt{33} \) and \( \sqrt{34} \) on the number line?
#number-line
#between-roots
#estimation
A (5.70)
B (5.75)
C (5.90)
D (5.60)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{33}\approx5.745 \) and \( \sqrt{34}\approx5.831 \), so (5.75) lies between them. Keep estimates accurate for close roots.
Step 2
Why this answer is correct
The correct answer is B. (5.75). \( \sqrt{33}\approx5.745 \) and \( \sqrt{34}\approx5.831 \), so (5.75) lies between them. Keep estimates accurate for close roots.
Step 3
Exam Tip
\( \sqrt{33}\approx5.745 \) और \( \sqrt{34}\approx5.831 \), इसलिए (5.75) इनके बीच है। निकट वर्गमूलों में अनुमान सटीक रखें।
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संख्या रेखा पर \( \sqrt{91}-\sqrt{55} \) किस दो लगातार पूर्णांकों के बीच स्थित है?
Between which two consecutive integers does \( \sqrt{91}-\sqrt{55} \) lie on the number line?
#number-line
#irrational-difference
#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
B. (2) और (3) / (2) and (3)
Step 1
Concept
\( \sqrt{91}\approx9.54 \) and \( \sqrt{55}\approx7.42 \), so the difference is about (2.12). Estimate both roots first.
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \( \sqrt{91}\approx9.54 \) and \( \sqrt{55}\approx7.42 \), so the difference is about (2.12). Estimate both roots first.
Step 3
Exam Tip
\( \sqrt{91}\approx9.54 \) और \( \sqrt{55}\approx7.42 \), इसलिए अंतर लगभग (2.12) है। पहले दोनों मूलों का अनुमान करें।
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संख्या रेखा पर \( \sqrt{6}+\frac{1}{3} \) किस दो लगातार पूर्णांकों के बीच स्थित है?
Between which two consecutive integers is \( \sqrt{6}+\frac{1}{3} \) located on the number line?
#number-line
#irrational-expression
#estimation
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (3) और (4) / (3) and (4)
D (4) और (5) / (4) and (5)
Explanation opens after your attempt
Correct Answer
B. (2) और (3) / (2) and (3)
Step 1
Concept
\( \sqrt{6}\approx2.449 \) and \( \frac{1}{3}\approx0.333 \), so the sum is about (2.782). For mixed values, estimate first.
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \( \sqrt{6}\approx2.449 \) and \( \frac{1}{3}\approx0.333 \), so the sum is about (2.782). For mixed values, estimate first.
Step 3
Exam Tip
\( \sqrt{6}\approx2.449 \) और \( \frac{1}{3}\approx0.333 \), इसलिए योग लगभग (2.782) है। मिश्रित मानों में पहले अनुमान लगाएँ।
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यदि \(a=\sqrt{75}\), तो (a-8) संख्या रेखा पर किसके सबसे निकट है?
If \(a=\sqrt{75}\), then (a-8) is closest to which value on the number line?
#number-line
#root-expression
#estimation
A (0.36)
B (0.66)
C (1.00)
D (0.06)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{75}\approx8.66 \), so \(a-8\approx0.66\). First estimate the root and then subtract.
Step 2
Why this answer is correct
The correct answer is B. (0.66). \( \sqrt{75}\approx8.66 \), so \(a-8\approx0.66\). First estimate the root and then subtract.
Step 3
Exam Tip
\( \sqrt{75}\approx8.66 \), इसलिए \(a-8\approx0.66\)। पहले मूल का अनुमान लगाएँ फिर घटाएँ।
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कौन सा मान \( \sqrt{21} \) और \( \sqrt{22} \) के बीच संख्या रेखा पर स्थित है?
Which value lies between \( \sqrt{21} \) and \( \sqrt{22} \) on the number line?
#number-line
#between-square-roots
#estimation
A (4.4)
B (4.9)
C (4.65)
D (5.1)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{21}\approx4.583 \) and \( \sqrt{22}\approx4.690 \), so (4.65) lies between them. Estimate accurately for close roots.
Step 2
Why this answer is correct
The correct answer is C. (4.65). \( \sqrt{21}\approx4.583 \) and \( \sqrt{22}\approx4.690 \), so (4.65) lies between them. Estimate accurately for close roots.
Step 3
Exam Tip
\( \sqrt{21}\approx4.583 \) और \( \sqrt{22}\approx4.690 \), इसलिए (4.65) इनके बीच है। पास-पास मूलों में सटीक अनुमान करें।
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संख्या रेखा पर \( \sqrt{65} \) का सबसे अच्छा एक दशमलव स्थान तक अनुमान कौन सा है?
What is the best estimate of \( \sqrt{65} \) to one decimal place on the number line?
#number-line
#estimation
#square-roots
A (7.9)
B (8.1)
C (8.5)
D (7.5)
Explanation opens after your attempt
Step 1
Concept
\(8^2=64\) and \(8.1^2=65.61\), so \( \sqrt{65}\approx8.1 \). Estimate using nearby squares.
Step 2
Why this answer is correct
The correct answer is B. (8.1). \(8^2=64\) and \(8.1^2=65.61\), so \( \sqrt{65}\approx8.1 \). Estimate using nearby squares.
Step 3
Exam Tip
\(8^2=64\) और \(8.1^2=65.61\), इसलिए \( \sqrt{65}\approx8.1 \)। निकट वर्ग से अनुमान लगाएँ।
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संख्या रेखा पर \( \sqrt{7}-\sqrt{5} \) का सबसे उचित अनुमान कौन सा है?
Which is the most suitable estimate of \( \sqrt{7}-\sqrt{5} \) on the number line?
#number-line
#root-difference
#estimation
A (0.41)
B (1.00)
C (0.05)
D (0.90)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{7}\approx2.646 \) and \( \sqrt{5}\approx2.236 \), so the difference is about (0.41). The difference of nearby roots is small.
Step 2
Why this answer is correct
The correct answer is A. (0.41). \( \sqrt{7}\approx2.646 \) and \( \sqrt{5}\approx2.236 \), so the difference is about (0.41). The difference of nearby roots is small.
Step 3
Exam Tip
\( \sqrt{7}\approx2.646 \) और \( \sqrt{5}\approx2.236 \), इसलिए अंतर लगभग (0.41) है। निकट मूलों का अंतर छोटा होता 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 \(p=-\sqrt{45}+2\), तो (p) संख्या रेखा पर किस अंतराल में होगा?
If \(p=-\sqrt{45}+2\), in which interval will (p) lie on the number line?
#number-line
#negative-expression
#estimation
A ( -5 ) और ( -4 ) के बीच / Between ( -5 ) and ( -4 )
B ( -4 ) और ( -3 ) के बीच / Between ( -4 ) and ( -3 )
C ( -3 ) और ( -2 ) के बीच / Between ( -3 ) and ( -2 )
D (4) और (5) के बीच / Between (4) and (5)
Explanation opens after your attempt
Correct Answer
A. ( -5 ) और ( -4 ) के बीच / Between ( -5 ) and ( -4 )
Step 1
Concept
\( \sqrt{45}\approx6.708 \), so \(p\approx-4.708\). Hence it lies between (-5) and (-4).
Step 2
Why this answer is correct
The correct answer is A. ( -5 ) और ( -4 ) के बीच / Between ( -5 ) and ( -4 ). \( \sqrt{45}\approx6.708 \), so \(p\approx-4.708\). Hence it lies between (-5) and (-4).
Step 3
Exam Tip
\( \sqrt{45}\approx6.708 \), इसलिए \(p\approx-4.708\) है। इसलिए यह (-5) और (-4) के बीच है।
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यदि \( \sqrt{n} \) संख्या रेखा पर (6.4) और (6.5) के बीच है, तो (n) के लिए कौन सा मान सही हो सकता है?
If \( \sqrt{n} \) lies between (6.4) and (6.5) on the number line, which value of (n) can be correct?
#number-line
#root-inequality
#estimation
A (42)
B (40)
C (45)
D (49)
Explanation opens after your attempt
Step 1
Concept
\(6.4^2=40.96\) and \(6.5^2=42.25\), so (n) must lie between them. (42) is in the correct range.
Step 2
Why this answer is correct
The correct answer is A. (42). \(6.4^2=40.96\) and \(6.5^2=42.25\), so (n) must lie between them. (42) is in the correct range.
Step 3
Exam Tip
\(6.4^2=40.96\) और \(6.5^2=42.25\), इसलिए (n) इनके बीच होना चाहिए। (42) सही सीमा में है।
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कौन सा मान संख्या रेखा पर \( \sqrt{18} \) और \( \sqrt{19} \) के बीच स्थित है?
Which value lies between \( \sqrt{18} \) and \( \sqrt{19} \) on the number line?
#number-line
#between-roots
#estimation
A (4.3)
B (4.1)
C (4.5)
D (4.0)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{18}\approx4.243 \) and \( \sqrt{19}\approx4.359 \). So (4.3) lies between them.
Step 2
Why this answer is correct
The correct answer is A. (4.3). \( \sqrt{18}\approx4.243 \) and \( \sqrt{19}\approx4.359 \). So (4.3) lies between them.
Step 3
Exam Tip
\( \sqrt{18}\approx4.243 \) और \( \sqrt{19}\approx4.359 \) है। इसलिए (4.3) इनके बीच है।
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संख्या रेखा पर \( \sqrt{31}-\sqrt{12} \) किस दो लगातार पूर्णांकों के बीच स्थित है?
Between which two consecutive integers does \( \sqrt{31}-\sqrt{12} \) lie on the number line?
#number-line
#irrational-difference
#estimation
A (2) और (3) / (2) and (3)
B (1) और (2) / (1) and (2)
C (3) और (4) / (3) and (4)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
B. (1) और (2) / (1) and (2)
Step 1
Concept
\( \sqrt{31}\approx5.57 \) and \( \sqrt{12}\approx3.46 \) so the difference is about (2.11). Estimate both roots first.
Step 2
Why this answer is correct
The correct answer is B. (1) और (2) / (1) and (2). \( \sqrt{31}\approx5.57 \) and \( \sqrt{12}\approx3.46 \) so the difference is about (2.11). Estimate both roots first.
Step 3
Exam Tip
\( \sqrt{31}\approx5.57 \) और \( \sqrt{12}\approx3.46 \) इसलिए अंतर लगभग (2.11) है। पहले दोनों मूलों का अनुमान करें।
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संख्या रेखा पर \( \sqrt{5}+\frac{1}{2} \) किस दो लगातार पूर्णांकों के बीच स्थित है?
Between which two consecutive integers is \( \sqrt{5}+\frac{1}{2} \) located on the number line?
#number-line
#irrational-expression
#estimation
A (2) और (3) / (2) and (3)
B (1) और (2) / (1) and (2)
C (3) और (4) / (3) and (4)
D (4) और (5) / (4) and (5)
Explanation opens after your attempt
Correct Answer
A. (2) और (3) / (2) and (3)
Step 1
Concept
Since \( \sqrt{5}\approx2.236\), \( \sqrt{5}+\frac{1}{2}\approx2.736\). Use estimation to identify the interval quickly.
Step 2
Why this answer is correct
The correct answer is A. (2) और (3) / (2) and (3). Since \( \sqrt{5}\approx2.236\), \( \sqrt{5}+\frac{1}{2}\approx2.736\). Use estimation to identify the interval quickly.
Step 3
Exam Tip
क्योंकि \( \sqrt{5}\approx2.236\), इसलिए \( \sqrt{5}+\frac{1}{2}\approx2.736\)। अनुमान लगाकर अंतराल जल्दी पहचानें।
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कौन सा मान \( \sqrt{6} \) से बड़ा और \( \sqrt{7} \) से छोटा है?
Which value is greater than \( \sqrt{6} \) and less than \( \sqrt{7} \)?
#number-line
#between-square-roots
#estimation
A (2.5)
B (2.4)
C (2.7)
D (3)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{6}\approx2.449\) and \( \sqrt{7}\approx2.646\), so (2.5) lies between them. Estimate carefully for close square roots.
Step 2
Why this answer is correct
The correct answer is A. (2.5). \( \sqrt{6}\approx2.449\) and \( \sqrt{7}\approx2.646\), so (2.5) lies between them. Estimate carefully for close square roots.
Step 3
Exam Tip
\( \sqrt{6}\approx2.449\) और \( \sqrt{7}\approx2.646\), इसलिए (2.5) बीच में है। नजदीकी मूलों में सावधानी से अनुमान लगाएँ।
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किस विकल्प में \( \sqrt{15} \) की संख्या रेखा पर स्थिति सबसे सही बताई गई है?
Which option states the position of \( \sqrt{15} \) on the number line most correctly?
#number-line
#decimal-estimation
#square-roots
A (3.8) और (3.9) के बीच / Between (3.8) and (3.9)
B (3.5) और (3.6) के बीच / Between (3.5) and (3.6)
C (4.1) और (4.2) के बीच / Between (4.1) and (4.2)
D (2.9) और (3.0) के बीच / Between (2.9) and (3.0)
Explanation opens after your attempt
Correct Answer
A. (3.8) और (3.9) के बीच / Between (3.8) and (3.9)
Step 1
Concept
\(3.8^2=14.44\) and \(3.9^2=15.21\), so \( \sqrt{15}\) lies between them. Check squares for decimal bounds.
Step 2
Why this answer is correct
The correct answer is A. (3.8) और (3.9) के बीच / Between (3.8) and (3.9). \(3.8^2=14.44\) and \(3.9^2=15.21\), so \( \sqrt{15}\) lies between them. Check squares for decimal bounds.
Step 3
Exam Tip
\(3.8^2=14.44\) और \(3.9^2=15.21\), इसलिए \( \sqrt{15}\) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।
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यदि (a) संख्या रेखा पर \( \sqrt{50} \) है, तो (a-7) किसके सबसे निकट है?
If (a) is \( \sqrt{50} \) on the number line, then (a-7) is closest to which value?
#number-line
#estimation
#root-expression
A (0.07)
B (1)
C (0.7)
D (7)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{50}\approx7.071\), so \(a-7\approx0.071\). First estimate the root, then subtract.
Step 2
Why this answer is correct
The correct answer is A. (0.07). \( \sqrt{50}\approx7.071\), so \(a-7\approx0.071\). First estimate the root, then subtract.
Step 3
Exam Tip
\( \sqrt{50}\approx7.071\), इसलिए \(a-7\approx0.071\)। पहले मूल का अनुमान लगाएँ, फिर घटाएँ।
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संख्या रेखा पर \( \sqrt{20} \) और \( \sqrt{27} \) के बीच कौन सा पूर्णांक आता है?
Which integer lies between \( \sqrt{20} \) and \( \sqrt{27} \) on the number line?
#number-line
#integers-between-roots
#estimation
A (5)
B (4)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{20}\approx4.47\) and \( \sqrt{27}\approx5.19\), so (5) lies between them. Use perfect squares to identify bounds.
Step 2
Why this answer is correct
The correct answer is A. (5). \( \sqrt{20}\approx4.47\) and \( \sqrt{27}\approx5.19\), so (5) lies between them. Use perfect squares to identify bounds.
Step 3
Exam Tip
\( \sqrt{20}\approx4.47\) और \( \sqrt{27}\approx5.19\), इसलिए (5) बीच में है। पूर्ण वर्गों से सीमा पहचानें।
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कौन सा कथन संख्या रेखा पर \( \sqrt{2}+\sqrt{3} \) के स्थान के बारे में सही है?
Which statement about the position of \( \sqrt{2}+\sqrt{3} \) on the number line is correct?
#number-line
#irrational-sum
#estimation
A यह (3) और (4) के बीच है / It lies between (3) and (4)
B यह (2) और (3) के बीच है / It lies between (2) and (3)
C यह (4) और (5) के बीच है / It lies between (4) and (5)
D यह (1) और (2) के बीच है / It lies between (1) and (2)
Explanation opens after your attempt
Correct Answer
A. यह (3) और (4) के बीच है / It lies between (3) and (4)
Step 1
Concept
\( \sqrt{2}\approx1.414\) and \( \sqrt{3}\approx1.732\), so the sum is about (3.146). Estimation is a safe method for such sums.
Step 2
Why this answer is correct
The correct answer is A. यह (3) और (4) के बीच है / It lies between (3) and (4). \( \sqrt{2}\approx1.414\) and \( \sqrt{3}\approx1.732\), so the sum is about (3.146). Estimation is a safe method for such sums.
Step 3
Exam Tip
\( \sqrt{2}\approx1.414\) और \( \sqrt{3}\approx1.732\), योग लगभग (3.146) है। कठिन योगों में अनुमान लगाना सुरक्षित तरीका है।
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\( \sqrt{45} \) को संख्या रेखा पर दिखाने के लिए सबसे अच्छा अनुमान कौन सा है?
Which is the best estimate for showing \( \sqrt{45} \) on the number line?
#number-line
#estimation
#irrational-numbers
A (6.7)
B (7.5)
C (5.9)
D (4.5)
Explanation opens after your attempt
Step 1
Concept
Since \(6^2=36\) and \(7^2=49\), \( \sqrt{45}\) is about (6.7). Estimate using nearby perfect squares.
Step 2
Why this answer is correct
The correct answer is A. (6.7). Since \(6^2=36\) and \(7^2=49\), \( \sqrt{45}\) is about (6.7). Estimate using nearby perfect squares.
Step 3
Exam Tip
क्योंकि \(6^2=36\) और \(7^2=49\), इसलिए \( \sqrt{45}\) लगभग (6.7) है। निकटतम पूर्ण वर्गों से अनुमान लगाएँ।
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संख्या रेखा पर \(\sqrt{50}\) को सरल कर अनुमान लगाने पर वह किसके निकट है?
After simplifying and estimating \(\sqrt{50}\) on the number line, it is near which value?
#polynomials
#number-line
#surd
#estimation
A (7.07)
B (6.07)
C (5.07)
D (8.07)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{50}=5\sqrt{2}\approx5\times1.414=7.07\). First take out the largest perfect-square factor.
Step 2
Why this answer is correct
The correct answer is A. (7.07). \(\sqrt{50}=5\sqrt{2}\approx5\times1.414=7.07\). First take out the largest perfect-square factor.
Step 3
Exam Tip
\(\sqrt{50}=5\sqrt{2}\approx5\times1.414=7.07\)। पहले बड़ा पूर्ण वर्ग बाहर निकालें।
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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 \(\sqrt{\frac{1}{2}}\) 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 \(3\sqrt{2}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(3\sqrt{2}\) lie on the number line?
#polynomials
#number-line
#surd-estimation
#medium
A (3) और (4) / (3) and (4)
B (4) और (5) / (4) and (5)
C (5) और (6) / (5) and (6)
D (6) और (7) / (6) and (7)
Explanation opens after your attempt
Correct Answer
B. (4) और (5) / (4) and (5)
Step 1
Concept
\(3\sqrt{2}\) is about (4.24), so it lies between (4) and (5). In exams, you may estimate \(\sqrt{2}\) as about (1.414).
Step 2
Why this answer is correct
The correct answer is B. (4) और (5) / (4) and (5). \(3\sqrt{2}\) is about (4.24), so it lies between (4) and (5). In exams, you may estimate \(\sqrt{2}\) as about (1.414).
Step 3
Exam Tip
\(3\sqrt{2}\) लगभग (4.24) है, इसलिए यह (4) और (5) के बीच है। परीक्षा में \(\sqrt{2}\) को लगभग (1.414) मानकर अनुमान लगा सकते हैं।
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संख्या रेखा पर कौन सा बिंदु \(\sqrt{11}\) के ठीक दाईं ओर हो सकता है?
Which point can be just to the right of \(\sqrt{11}\) on the number line?
#polynomials
#number-line
#estimation-right
#medium
A (3.1)
B (3.2)
C (3.4)
D (3.0)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{11}\) is about (3.32), so (3.4) is to its right. In exams, a point to the right is greater.
Step 2
Why this answer is correct
The correct answer is C. (3.4). \(\sqrt{11}\) is about (3.32), so (3.4) is to its right. In exams, a point to the right is greater.
Step 3
Exam Tip
\(\sqrt{11}\) लगभग (3.32) है, इसलिए (3.4) उसके दाईं ओर है। परीक्षा में दाईं ओर वाली संख्या बड़ी होती है।
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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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