संख्या रेखा पर \(\sqrt{17}\) बनाने के लिए समकोण त्रिभुज की लंब भुजाएं (4) और (1) ली गई हैं। कर्ण की लंबाई क्या होगी?
To construct \(\sqrt{17}\) on the number line, the perpendicular sides of a right triangle are taken as (4) and (1). What will be the length of the hypotenuse?
#number-line
#square-root
#construction
#pythagoras
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A \(\sqrt{15}\)
B \(\sqrt{17}\)
C (5)
D (17)
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{17}\)
Step 1
Concept
The hypotenuse is \(\sqrt{4^2+1^2}=\sqrt{17}\). Use Pythagoras in this type of construction.
Step 2
Why this answer is correct
The correct answer is B. \(\sqrt{17}\). The hypotenuse is \(\sqrt{4^2+1^2}=\sqrt{17}\). Use Pythagoras in this type of construction.
Step 3
Exam Tip
कर्ण \(=\sqrt{4^2+1^2}=\sqrt{17}\) होगा। ऐसी रचना में पाइथागोरस प्रमेय लगाएं।
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संख्या रेखा पर \(\sqrt{26}\) किस दो क्रमागत पूर्णांकों के बीच होगा?
Between which two consecutive integers will \(\sqrt{26}\) lie on the number line?
#number-line
#irrational-numbers
#square-root
#comparison
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A (4) और (5) / (4) and (5)
B (5) और (6) / (5) and (6)
C (6) और (7) / (6) and (7)
D (7) और (8) / (7) and (8)
Explanation opens after your attempt
Correct Answer
B. (5) और (6) / (5) and (6)
Step 1
Concept
Since \(5^2<26<6^2\), \(\sqrt{26}\) lies between (5) and (6). Check nearby perfect squares.
Step 2
Why this answer is correct
The correct answer is B. (5) और (6) / (5) and (6). Since \(5^2<26<6^2\), \(\sqrt{26}\) lies between (5) and (6). Check nearby perfect squares.
Step 3
Exam Tip
क्योंकि \(5^2<26<6^2\), इसलिए \(\sqrt{26}\) (5) और (6) के बीच होगा। पास के पूर्ण वर्ग देखें।
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यदि (0) से (3) तक की रेखा को (12) बराबर भागों में बांटा जाए तो (0) के बाद सातवां बिंदु कौन सा मान दिखाएगा?
If the line segment from (0) to (3) is divided into (12) equal parts, what value will the seventh point after (0) show?
#number-line
#equal-parts
#fractions
#scale
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A \(\frac{5}{4}\)
B \(\frac{7}{4}\)
C \(\frac{9}{4}\)
D \(\frac{11}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{4}\)
Step 1
Concept
Each part is \(\frac{3}{12}=\frac{1}{4}\), so the seventh point is \(\frac{7}{4}\). Divide the total length by equal parts.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{4}\). Each part is \(\frac{3}{12}=\frac{1}{4}\), so the seventh point is \(\frac{7}{4}\). Divide the total length by equal parts.
Step 3
Exam Tip
प्रत्येक भाग \(\frac{3}{12}=\frac{1}{4}\) है इसलिए सातवां बिंदु \(\frac{7}{4}\) है। कुल लंबाई को बराबर भागों से बांटें।
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संख्या रेखा पर \(-\sqrt{16}\) और (2.5) के बीच की दूरी कितनी है?
What is the distance between \(-\sqrt{16}\) and (2.5) on the number line?
#number-line
#distance
#square-root
#absolute-value
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A (4.5)
B (5.5)
C (6.5)
D (8.5)
Explanation opens after your attempt
Step 1
Concept
\(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.
Step 2
Why this answer is correct
The correct answer is C. (6.5). \(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.
Step 3
Exam Tip
\(-\sqrt{16}=-4\), इसलिए दूरी (|2.5-(-4)|=6.5) है। दूरी हमेशा धनात्मक लेते हैं।
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संख्या रेखा पर \(-\sqrt{6}\) और (-2.4) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point will be to the right, \(-\sqrt{6}\) or (-2.4)?
#number-line
#negative-irrational
#comparison
#order
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A \(-\sqrt{6}\)
B (-2.4)
C दोनों समान हैं / Both are equal
D दोनों (0) के दाईं ओर हैं / Both are right of (0)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{6}\) is about (2.45), so \(-\sqrt{6}\) is about (-2.45). (-2.4) is greater, so it is to the right.
Step 2
Why this answer is correct
The correct answer is B. (-2.4). \(\sqrt{6}\) is about (2.45), so \(-\sqrt{6}\) is about (-2.45). (-2.4) is greater, so it is to the right.
Step 3
Exam Tip
\(\sqrt{6}\) लगभग (2.45) है इसलिए \(-\sqrt{6}\) लगभग (-2.45) होगा। (-2.4) बड़ा है इसलिए दाईं ओर है।
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संख्या रेखा पर (-1.6) और (2.8) के मध्य बिंदु का मान क्या है?
What is the midpoint of (-1.6) and (2.8) on the number line?
#number-line
#midpoint
#decimals
#average
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A (0.4)
B (0.6)
C (1.2)
D (4.4)
Explanation opens after your attempt
Step 1
Concept
The midpoint is \(\frac{-1.6+2.8}{2}=0.6\). Take the average of the two values for the midpoint.
Step 2
Why this answer is correct
The correct answer is B. (0.6). The midpoint is \(\frac{-1.6+2.8}{2}=0.6\). Take the average of the two values for the midpoint.
Step 3
Exam Tip
मध्य बिंदु \(\frac{-1.6+2.8}{2}=0.6\) है। मध्य बिंदु के लिए दोनों मानों का औसत लें।
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संख्या रेखा पर (2.125) के समान बिंदु को कौन सा भिन्न दिखाता है?
Which fraction represents the same point as (2.125) on the number line?
#number-line
#decimal-to-fraction
#rational-numbers
#equivalent
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A \(\frac{15}{8}\)
B \(\frac{16}{8}\)
C \(\frac{17}{8}\)
D \(\frac{19}{8}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{17}{8}\)
Step 1
Concept
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{17}{8}\). \(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 3
Exam Tip
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\) है। दशमलव को भिन्न में बदलकर समान बिंदु पहचानें।
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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
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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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यदि (1.25) से (2.75) इकाई बाईं ओर चला जाए तो अंतिम बिंदु कौन सा होगा?
If we move (2.75) units left from (1.25), what will be the final point?
#number-line
#movement
#decimals
#direction
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A (-1.5)
B (-0.5)
C (1.5)
D (4)
Explanation opens after your attempt
Step 1
Concept
Moving left means subtracting, so (1.25-2.75=-1.5). Choose the operation according to direction.
Step 2
Why this answer is correct
The correct answer is A. (-1.5). Moving left means subtracting, so (1.25-2.75=-1.5). Choose the operation according to direction.
Step 3
Exam Tip
बाईं ओर जाने पर घटाते हैं इसलिए (1.25-2.75=-1.5) होगा। दिशा के अनुसार क्रिया चुनें।
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संख्या रेखा पर \(\frac{4}{3}\), \(\sqrt{2}\), और (1.5) का बाएं से दाएं सही क्रम क्या है?
What is the correct left to right order of \(\frac{4}{3}\), \(\sqrt{2}\), and (1.5) on the number line?
#number-line
#order
#fractions
#irrational-numbers
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A \(\frac{4}{3},\sqrt{2},1.5\)
B \(\sqrt{2},\frac{4}{3},1.5\)
C \(1.5,\sqrt{2},\frac{4}{3}\)
D \(\frac{4}{3},1.5,\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{4}{3},\sqrt{2},1.5\)
Step 1
Concept
\(\frac{4}{3}\approx1.33\) and \(\sqrt{2}\approx1.41\), so the order is \(\frac{4}{3}<\sqrt{2}<1.5\). Estimate values for comparison.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{4}{3},\sqrt{2},1.5\). \(\frac{4}{3}\approx1.33\) and \(\sqrt{2}\approx1.41\), so the order is \(\frac{4}{3}<\sqrt{2}<1.5\). Estimate values for comparison.
Step 3
Exam Tip
\(\frac{4}{3}\approx1.33\), \(\sqrt{2}\approx1.41\), इसलिए क्रम \(\frac{4}{3}<\sqrt{2}<1.5\) है। तुलना के लिए अनुमान लगाएं।
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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
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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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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
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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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यदि (-1) से (1) तक की दूरी को (8) बराबर भागों में बांटा जाए तो प्रत्येक भाग की लंबाई क्या होगी?
If the distance from (-1) to (1) is divided into (8) equal parts, what is the length of each part?
#number-line
#equal-division
#distance
#fractions
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A \(\frac{1}{8}\)
B \(\frac{1}{4}\)
C \(\frac{1}{2}\)
D (1)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{4}\)
Step 1
Concept
The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{4}\). The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.
Step 3
Exam Tip
कुल दूरी (2) है इसलिए प्रत्येक भाग \(\frac{2}{8}=\frac{1}{4}\) होगा। दूरी निकालकर बराबर भागों से विभाजित करें।
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यदि (-1) से दाईं ओर प्रत्येक कदम (0.25) का हो तो तीसरे कदम पर कौन सा बिंदु मिलेगा?
If each step to the right from (-1) is (0.25), which point will be reached at the third step?
#number-line
#steps
#decimals
#negative-numbers
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A (-0.75)
B (-0.5)
C (-0.25)
D (0.25)
Explanation opens after your attempt
Correct Answer
C. (-0.25)
Step 1
Concept
After the third step, the value is \(-1+3\times0.25=-0.25\). For equal steps, multiply step number by step length.
Step 2
Why this answer is correct
The correct answer is C. (-0.25). After the third step, the value is \(-1+3\times0.25=-0.25\). For equal steps, multiply step number by step length.
Step 3
Exam Tip
तीसरे कदम के बाद मान \(-1+3\times0.25=-0.25\) है। बराबर कदमों में कदम संख्या को लंबाई से गुणा 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
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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 \(\sqrt{25}\) और \(-\sqrt{9}\) के बीच की दूरी कितनी है?
What is the distance between \(\sqrt{25}\) and \(-\sqrt{9}\) on the number line?
#number-line
#distance
#perfect-square
#roots
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A (2)
B (5)
C (8)
D (14)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.
Step 2
Why this answer is correct
The correct answer is C. (8). \(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.
Step 3
Exam Tip
\(\sqrt{25}=5\) और \(-\sqrt{9}=-3\), इसलिए दूरी (|5-(-3)|=8) है। पहले वर्गमूल सरल करें।
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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
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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 (-1.25) के समान बिंदु कौन सा भिन्न दिखाता है?
Which fraction shows the same point as (-1.25) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
#equivalent
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A \(-\frac{3}{4}\)
B \(-\frac{5}{4}\)
C \(\frac{5}{4}\)
D \(-\frac{7}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{5}{4}\)
Step 1
Concept
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{5}{4}\). \(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 3
Exam Tip
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\) है। दशमलव को सरल भिन्न में बदलें।
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संख्या रेखा पर \(\frac{5}{4}\) और \(\frac{9}{4}\) के ठीक बीच कौन सा बिंदु होगा?
Which point lies exactly midway between \(\frac{5}{4}\) and \(\frac{9}{4}\) on the number line?
#number-line
#fractions
#midpoint
#average
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A \(\frac{6}{4}\)
B \(\frac{7}{4}\)
C \(\frac{8}{4}\)
D \(\frac{14}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{4}\)
Step 1
Concept
The midpoint is \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\). The average of two fractions gives the midpoint.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{4}\). The midpoint is \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\). The average of two fractions gives the midpoint.
Step 3
Exam Tip
मध्य बिंदु \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\) है। दो भिन्नों का औसत मध्य बिंदु देता है।
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समकोण त्रिभुज में भुजाएं (3) और (4) लेकर संख्या रेखा पर कौन सा मान बनाया जा सकता है?
Using sides (3) and (4) in a right triangle, which value can be constructed on the number line?
#number-line
#construction
#pythagoras
#real-numbers
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A (5)
B (6)
C (7)
D (12)
Explanation opens after your attempt
Step 1
Concept
The hypotenuse is \(\sqrt{3^2+4^2}=5\). This is a direct use of a Pythagorean triple.
Step 2
Why this answer is correct
The correct answer is A. (5). The hypotenuse is \(\sqrt{3^2+4^2}=5\). This is a direct use of a Pythagorean triple.
Step 3
Exam Tip
कर्ण \(\sqrt{3^2+4^2}=5\) होता है। यह पाइथागोरस त्रिक का सीधा उपयोग है।
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संख्या रेखा पर \(-\sqrt{11}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(-\sqrt{11}\) lie on the number line?
#number-line
#negative-root
#irrational-numbers
#interval
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A (-2) और (-1) / (-2) and (-1)
B (-3) और (-2) / (-3) and (-2)
C (-4) और (-3) / (-4) and (-3)
D (3) और (4) / (3) and (4)
Explanation opens after your attempt
Correct Answer
C. (-4) और (-3) / (-4) and (-3)
Step 1
Concept
\(\sqrt{11}\) lies between (3) and (4), so \(-\sqrt{11}\) lies between (-4) and (-3). The negative sign changes the side.
Step 2
Why this answer is correct
The correct answer is C. (-4) और (-3) / (-4) and (-3). \(\sqrt{11}\) lies between (3) and (4), so \(-\sqrt{11}\) lies between (-4) and (-3). The negative sign changes the side.
Step 3
Exam Tip
\(\sqrt{11}\) (3) और (4) के बीच है इसलिए \(-\sqrt{11}\) (-4) और (-3) के बीच होगा। ऋणात्मक चिन्ह दिशा बदल देता है।
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संख्या रेखा पर (0.125) किस भिन्न के समान बिंदु है?
On the number line, (0.125) is the same point as which fraction?
#number-line
#decimals
#fractions
#equivalent
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A \(\frac{1}{4}\)
B \(\frac{1}{8}\)
C \(\frac{1}{10}\)
D \(\frac{1}{12}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{8}\)
Step 1
Concept
\(0.125=\frac{125}{1000}=\frac{1}{8}\). Start with denominator (10), (100), or (1000), then simplify.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{8}\). \(0.125=\frac{125}{1000}=\frac{1}{8}\). Start with denominator (10), (100), or (1000), then simplify.
Step 3
Exam Tip
\(0.125=\frac{125}{1000}=\frac{1}{8}\) है। दशमलव को हर (10), (100), या (1000) से शुरू करके सरल करें।
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संख्या रेखा पर \(-\frac{7}{3}\) की (0) से दूरी कितनी है?
What is the distance of \(-\frac{7}{3}\) from (0) on the number line?
#number-line
#distance
#absolute-value
#negative-fraction
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A \(-\frac{7}{3}\)
B \(\frac{7}{3}\)
C \(\frac{3}{7}\)
D \(\frac{10}{3}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{3}\)
Step 1
Concept
Distance from (0) is magnitude, so \(\left|-\frac{7}{3}\right|=\frac{7}{3}\). Distance is never negative.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{3}\). Distance from (0) is magnitude, so \(\left|-\frac{7}{3}\right|=\frac{7}{3}\). Distance is never negative.
Step 3
Exam Tip
(0) से दूरी परिमाण होती है इसलिए \(\left|-\frac{7}{3}\right|=\frac{7}{3}\) है। दूरी ऋणात्मक नहीं होती।
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संख्या रेखा पर \(-\sqrt{2}\), (-1.5), और (-1.3) का बढ़ता क्रम क्या है?
What is the increasing order of \(-\sqrt{2}\), (-1.5), and (-1.3) on the number line?
#number-line
#negative-numbers
#irrational-numbers
#increasing-order
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A \(-1.5,-\sqrt{2},-1.3\)
B \(-\sqrt{2},-1.5,-1.3\)
C \(-1.3,-\sqrt{2},-1.5\)
D \(-1.5,-1.3,-\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(-1.5,-\sqrt{2},-1.3\)
Step 1
Concept
\(\sqrt{2}\approx1.41\), so \(-1.5<-\sqrt{2}<-1.3\). For negative numbers, the farther left number is smaller.
Step 2
Why this answer is correct
The correct answer is A. \(-1.5,-\sqrt{2},-1.3\). \(\sqrt{2}\approx1.41\), so \(-1.5<-\sqrt{2}<-1.3\). For negative numbers, the farther left number is smaller.
Step 3
Exam Tip
\(\sqrt{2}\approx1.41\), इसलिए \(-1.5<-\sqrt{2}<-1.3\) है। ऋणात्मक संख्याओं में अधिक बाईं संख्या छोटी होती है।
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संख्या रेखा पर \(\sqrt{0.49}\) का सही स्थान कौन सा है?
What is the correct position of \(\sqrt{0.49}\) on the number line?
#number-line
#decimal-square-root
#perfect-square
#position
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A (0.07)
B (0.7)
C (4.9)
D (7)
Explanation opens after your attempt
Step 1
Concept
Since \(0.7^2=0.49\), \(\sqrt{0.49}=0.7\). Be careful with place value in decimal squares.
Step 2
Why this answer is correct
The correct answer is B. (0.7). Since \(0.7^2=0.49\), \(\sqrt{0.49}=0.7\). Be careful with place value in decimal squares.
Step 3
Exam Tip
\(0.7^2=0.49\), इसलिए \(\sqrt{0.49}=0.7\) है। दशमलव वर्गों में स्थान मान सावधानी से देखें।
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संख्या रेखा पर (1.75) का (0) के सापेक्ष सममित बिंदु कौन सा होगा?
What will be the point symmetric to (1.75) with respect to (0) on the number line?
#number-line
#symmetry
#opposite-numbers
#decimals
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A (-1.75)
B (-0.75)
C (0.75)
D (1.75)
Explanation opens after your attempt
Correct Answer
A. (-1.75)
Step 1
Concept
The symmetric point about (0) is the opposite number, so the answer is (-1.75). Opposite numbers are at equal distance.
Step 2
Why this answer is correct
The correct answer is A. (-1.75). The symmetric point about (0) is the opposite number, so the answer is (-1.75). Opposite numbers are at equal distance.
Step 3
Exam Tip
(0) के सापेक्ष सममित बिंदु विपरीत संख्या होता है इसलिए उत्तर (-1.75) है। विपरीत संख्याएं बराबर दूरी पर होती हैं।
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संख्या रेखा पर (0.6) और (1.4) के मध्य बिंदु का मान क्या है?
What is the midpoint of (0.6) and (1.4) on the number line?
#number-line
#midpoint
#decimals
#average
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A (0.8)
B (1)
C (1.2)
D (2)
Explanation opens after your attempt
Step 1
Concept
The midpoint is \(\frac{0.6+1.4}{2}=1\). The midpoint is equally distant from both ends.
Step 2
Why this answer is correct
The correct answer is B. (1). The midpoint is \(\frac{0.6+1.4}{2}=1\). The midpoint is equally distant from both ends.
Step 3
Exam Tip
मध्य बिंदु \(\frac{0.6+1.4}{2}=1\) है। मध्य बिंदु दोनों सिरों से बराबर दूरी पर होता है।
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कौन सी संख्या संख्या रेखा पर \(\frac{2}{3}\) और \(\frac{3}{4}\) के बीच है?
Which number lies between \(\frac{2}{3}\) and \(\frac{3}{4}\) on the number line?
#number-line
#between
#fractions
#decimals
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A (0.6)
B (0.7)
C (0.8)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(\frac{2}{3}\approx0.667\) and \(\frac{3}{4}=0.75\), so (0.7) lies between them. Use decimal form for comparison.
Step 2
Why this answer is correct
The correct answer is B. (0.7). \(\frac{2}{3}\approx0.667\) and \(\frac{3}{4}=0.75\), so (0.7) lies between them. Use decimal form for comparison.
Step 3
Exam Tip
\(\frac{2}{3}\approx0.667\) और \(\frac{3}{4}=0.75\), इसलिए (0.7) बीच में है। तुलना के लिए दशमलव रूप उपयोग 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
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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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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
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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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यदि (A=-2.25) और (B=-0.75) हों तो संख्या रेखा पर (AB) की लंबाई कितनी है?
If (A=-2.25) and (B=-0.75), what is the length of (AB) on the number line?
#number-line
#distance
#negative-decimals
#segment
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A (0.75)
B (1)
C (1.5)
D (3)
Explanation opens after your attempt
Step 1
Concept
The length is (|-0.75-(-2.25)|=1.5). Distance between negative points is also positive.
Step 2
Why this answer is correct
The correct answer is C. (1.5). The length is (|-0.75-(-2.25)|=1.5). Distance between negative points is also positive.
Step 3
Exam Tip
लंबाई (|-0.75-(-2.25)|=1.5) है। ऋणात्मक बिंदुओं के बीच भी दूरी धनात्मक होती है।
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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
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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 \(\sqrt{15}\) 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
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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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यदि (2) से (5) तक की दूरी को (6) बराबर भागों में बांटा जाए तो प्रत्येक भाग की लंबाई क्या होगी?
If the distance from (2) to (5) is divided into (6) equal parts, what is the length of each part?
#number-line
#equal-parts
#distance
#fractions
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A \(\frac{1}{3}\)
B \(\frac{1}{2}\)
C (1)
D (3)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{2}\)
Step 1
Concept
The total distance is (5-2=3), and each part is \(\frac{3}{6}=\frac{1}{2}\). Find the total distance first.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{2}\). The total distance is (5-2=3), and each part is \(\frac{3}{6}=\frac{1}{2}\). Find the total distance first.
Step 3
Exam Tip
कुल दूरी (5-2=3) है और प्रत्येक भाग \(\frac{3}{6}=\frac{1}{2}\) होगा। पहले कुल दूरी निकालें।
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पिछले प्रश्न जैसी रेखा में (2) से चौथा बराबर बिंदु कौन सा होगा जब प्रत्येक भाग \(\frac{1}{2}\) हो?
In a similar segment, what is the fourth equal point from (2) when each part is \(\frac{1}{2}\)?
#number-line
#equal-steps
#fractions
#position
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A (3)
B (3.5)
C (4)
D (4.5)
Explanation opens after your attempt
Step 1
Concept
The fourth point is \(2+4\times\frac{1}{2}=4\). Add the total step length to the starting point.
Step 2
Why this answer is correct
The correct answer is C. (4). The fourth point is \(2+4\times\frac{1}{2}=4\). Add the total step length to the starting point.
Step 3
Exam Tip
चौथा बिंदु \(2+4\times\frac{1}{2}=4\) है। बराबर भागों में आरंभिक बिंदु में कुल कदम जोड़ें।
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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
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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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इनमें से कौन सा मान संख्या रेखा पर (0) और (1) के बीच नहीं होगा?
Which of these values will not lie between (0) and (1) on the number line?
#number-line
#between
#real-numbers
#comparison
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A \(\frac{\sqrt{2}}{2}\)
B \(\frac{5}{6}\)
C (-0.1)
D \(\sqrt{0.25}\)
Explanation opens after your attempt
Step 1
Concept
(-0.1) is less than zero, so it is not between (0) and (1). Compare with both bounds when checking between values.
Step 2
Why this answer is correct
The correct answer is C. (-0.1). (-0.1) is less than zero, so it is not between (0) and (1). Compare with both bounds when checking between values.
Step 3
Exam Tip
(-0.1) शून्य से छोटा है इसलिए (0) और (1) के बीच नहीं है। बीच की जांच में दोनों सीमाओं से तुलना करें।
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संख्या रेखा पर \(\frac{2}{5}\) और \(\frac{7}{10}\) के बीच की दूरी कितनी है?
What is the distance between \(\frac{2}{5}\) and \(\frac{7}{10}\) on the number line?
#number-line
#distance
#fractions
#rational-numbers
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A \(\frac{1}{10}\)
B \(\frac{2}{10}\)
C \(\frac{3}{10}\)
D \(\frac{9}{10}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{3}{10}\)
Step 1
Concept
\(\frac{2}{5}=\frac{4}{10}\), so the distance is \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\). Use a common denominator before subtracting.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{3}{10}\). \(\frac{2}{5}=\frac{4}{10}\), so the distance is \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\). Use a common denominator before subtracting.
Step 3
Exam Tip
\(\frac{2}{5}=\frac{4}{10}\), इसलिए दूरी \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\) है। समान हर बनाकर घटाएं।
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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
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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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यदि बिंदु (P), (-0.4) से \(\sqrt{0.04}\) इकाई दाईं ओर है तो (P) का मान क्या होगा?
If point (P) is \(\sqrt{0.04}\) unit to the right of (-0.4), what will be the value of (P)?
#number-line
#movement
#decimal-root
#negative-numbers
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A (-0.6)
B (-0.2)
C (0.2)
D (0.6)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.04}=0.2\), so (P=-0.4+0.2=-0.2). Moving right means addition.
Step 2
Why this answer is correct
The correct answer is B. (-0.2). \(\sqrt{0.04}=0.2\), so (P=-0.4+0.2=-0.2). Moving right means addition.
Step 3
Exam Tip
\(\sqrt{0.04}=0.2\), इसलिए (P=-0.4+0.2=-0.2) है। दाईं ओर जाने पर जोड़ते हैं।
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इनमें से कौन सा बिंदु संख्या रेखा पर (-2) से बाईं ओर होगा?
Which of these points will lie to the left of (-2) on the number line?
#number-line
#left-right
#negative-irrational
#comparison
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A \(-\sqrt{6}\)
B \(-\sqrt{3}\)
C (-1.9)
D \(-\frac{3}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(-\sqrt{6}\)
Step 1
Concept
\(\sqrt{6}\approx2.45\), so \(-\sqrt{6}\approx-2.45\), which is left of (-2). The smaller number lies to the left.
Step 2
Why this answer is correct
The correct answer is A. \(-\sqrt{6}\). \(\sqrt{6}\approx2.45\), so \(-\sqrt{6}\approx-2.45\), which is left of (-2). The smaller number lies to the left.
Step 3
Exam Tip
\(\sqrt{6}\approx2.45\), इसलिए \(-\sqrt{6}\approx-2.45\) है जो (-2) से बाईं ओर है। छोटी संख्या बाईं ओर होती है।
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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
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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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संख्या रेखा पर \(-\sqrt{4}\) और \(\sqrt{16}\) के मध्य बिंदु का मान क्या है?
What is the midpoint of \(-\sqrt{4}\) and \(\sqrt{16}\) on the number line?
#number-line
#midpoint
#roots
#average
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A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(-\sqrt{4}=-2\) and \(\sqrt{16}=4\), so the midpoint is \(\frac{-2+4}{2}=1\). Simplify roots first.
Step 2
Why this answer is correct
The correct answer is B. (1). \(-\sqrt{4}=-2\) and \(\sqrt{16}=4\), so the midpoint is \(\frac{-2+4}{2}=1\). Simplify roots first.
Step 3
Exam Tip
\(-\sqrt{4}=-2\) और \(\sqrt{16}=4\), इसलिए मध्य बिंदु \(\frac{-2+4}{2}=1\) है। पहले वर्गमूल सरल करें।
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संख्या रेखा पर \(\frac{13}{4}\) को (3) और (4) के बीच कहां रखा जाएगा?
Where will \(\frac{13}{4}\) be placed between (3) and (4) on the number line?
#number-line
#improper-fraction
#equal-parts
#position
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A (3) के बाद पहला चौथाई बिंदु / First quarter point after (3)
B (3) के बाद दूसरा चौथाई बिंदु / Second quarter point after (3)
C (3) के बाद तीसरा चौथाई बिंदु / Third quarter point after (3)
D ठीक (4) पर / Exactly at (4)
Explanation opens after your attempt
Correct Answer
A. (3) के बाद पहला चौथाई बिंदु / First quarter point after (3)
Step 1
Concept
\(\frac{13}{4}=3+\frac{1}{4}\), so it is the first quarter point after (3). Think of improper fractions as mixed numbers.
Step 2
Why this answer is correct
The correct answer is A. (3) के बाद पहला चौथाई बिंदु / First quarter point after (3). \(\frac{13}{4}=3+\frac{1}{4}\), so it is the first quarter point after (3). Think of improper fractions as mixed numbers.
Step 3
Exam Tip
\(\frac{13}{4}=3+\frac{1}{4}\), इसलिए यह (3) के बाद पहले चौथाई बिंदु पर होगा। अशुद्ध भिन्न को मिश्रित रूप में सोचें।
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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
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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 \(-\sqrt{25}\) और \(-\sqrt{36}\) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point will be to the right, \(-\sqrt{25}\) or \(-\sqrt{36}\)?
#number-line
#negative-roots
#comparison
#order
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A \(-\sqrt{25}\)
B \(-\sqrt{36}\)
C दोनों समान हैं / Both are equal
D दोनों धनात्मक हैं / Both are positive
Explanation opens after your attempt
Correct Answer
A. \(-\sqrt{25}\)
Step 1
Concept
\(-\sqrt{25}=-5\) and \(-\sqrt{36}=-6\), so (-5) is to the right. Among negatives, the one with smaller magnitude is greater.
Step 2
Why this answer is correct
The correct answer is A. \(-\sqrt{25}\). \(-\sqrt{25}=-5\) and \(-\sqrt{36}=-6\), so (-5) is to the right. Among negatives, the one with smaller magnitude is greater.
Step 3
Exam Tip
\(-\sqrt{25}=-5\) और \(-\sqrt{36}=-6\), इसलिए (-5) दाईं ओर है। ऋणात्मक संख्याओं में कम परिमाण वाली संख्या बड़ी होती है।
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संख्या रेखा पर \(-\sqrt{0.81}\) की (0) से दूरी कितनी है?
What is the distance of \(-\sqrt{0.81}\) from (0) on the number line?
#number-line
#distance
#decimal-root
#absolute-value
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A (0.09)
B (0.9)
C (1.8)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.81}=0.9\), so the distance of \(-\sqrt{0.81}\) from (0) is (0.9). Distance equals magnitude.
Step 2
Why this answer is correct
The correct answer is B. (0.9). \(\sqrt{0.81}=0.9\), so the distance of \(-\sqrt{0.81}\) from (0) is (0.9). Distance equals magnitude.
Step 3
Exam Tip
\(\sqrt{0.81}=0.9\), इसलिए \(-\sqrt{0.81}\) की (0) से दूरी (0.9) है। दूरी परिमाण के बराबर होती है।
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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
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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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संख्या रेखा पर (3) के सापेक्ष (4.6) का सममित बिंदु कौन सा होगा?
What will be the point symmetric to (4.6) with respect to (3) on the number line?
#number-line
#symmetry
#midpoint
#decimals
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A (1.4)
B (2.4)
C (3.4)
D (5.6)
Explanation opens after your attempt
Step 1
Concept
For the symmetric point (3) is the midpoint so the other point is \(2\times3-4.6=1.4\). In symmetry the midpoint is equally distant from both endpoints.
Step 2
Why this answer is correct
The correct answer is A. (1.4). For the symmetric point (3) is the midpoint so the other point is \(2\times3-4.6=1.4\). In symmetry the midpoint is equally distant from both endpoints.
Step 3
Exam Tip
सममित बिंदु के लिए (3) मध्य बिंदु होगा इसलिए दूसरा बिंदु \(2\times3-4.6=1.4\) है। सममिति में मध्य बिंदु दोनों सिरों से बराबर दूरी पर होता है।
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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
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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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