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\( \sqrt{81} \) किसके बराबर है?
What is \( \sqrt{81} \) equal to?
Explanation opens after your attempt
Step 1
Concept
Since \(9^2=81\), \( \sqrt{81}=9 \). Identify square roots of perfect squares quickly.
Step 2
Why this answer is correct
The correct answer is B. (9). Since \(9^2=81\), \( \sqrt{81}=9 \). Identify square roots of perfect squares quickly.
Step 3
Exam Tip
\(9^2=81\) इसलिए \( \sqrt{81}=9 \)। पूर्ण वर्गों के वर्गमूल जल्दी पहचानें।
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\( \sqrt{20} \) किस दो पूर्णांकों के बीच है?
Between which two integers does \( \sqrt{20} \) lie?
Explanation opens after your attempt
Correct Answer
C. (4) और (5)/(4) and (5)
Step 1
Concept
\(4^2=16\) and \(5^2=25\), so \( \sqrt{20} \) lies between (4) and (5). Estimate using squares.
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). \(4^2=16\) and \(5^2=25\), so \( \sqrt{20} \) lies between (4) and (5). Estimate using squares.
Step 3
Exam Tip
\(4^2=16\) और \(5^2=25\) है इसलिए \( \sqrt{20} \) (4) और (5) के बीच है। वर्गों से अनुमान लगाएँ।
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कौन सी संख्या अपरिमेय वास्तविक संख्या है?
Which number is an irrational real number?
Explanation opens after your attempt
Correct Answer
C. \( \sqrt{17} \)
Step 1
Concept
(17) is not a perfect square, so \( \sqrt{17} \) is irrational. Still, it is a real number.
Step 2
Why this answer is correct
The correct answer is C. \( \sqrt{17} \). (17) is not a perfect square, so \( \sqrt{17} \) is irrational. Still, it is a real number.
Step 3
Exam Tip
(17) पूर्ण वर्ग नहीं है इसलिए \( \sqrt{17} \) अपरिमेय है। फिर भी यह वास्तविक संख्या है।
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\( \sqrt{2}\times\sqrt{18} \) का मान क्या है?
What is the value of \( \sqrt{2}\times\sqrt{18} \)?
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{2}\times\sqrt{18}=\sqrt{36}=6 \). In multiplication, multiply the numbers inside square roots.
Step 2
Why this answer is correct
The correct answer is A. (6). \( \sqrt{2}\times\sqrt{18}=\sqrt{36}=6 \). In multiplication, multiply the numbers inside square roots.
Step 3
Exam Tip
\( \sqrt{2}\times\sqrt{18}=\sqrt{36}=6 \)। गुणा में वर्गमूल के अंदर की संख्याएँ गुणा करें।
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कौन सा विकल्प सही है?
Which option is correct?
Explanation opens after your attempt
Correct Answer
B. \( \sqrt{4}+\sqrt{9}=5 \)
Step 1
Concept
\( \sqrt{4}=2 \) and \( \sqrt{9}=3 \), so the sum is (5). Do not add square roots directly inside.
Step 2
Why this answer is correct
The correct answer is B. \( \sqrt{4}+\sqrt{9}=5 \). \( \sqrt{4}=2 \) and \( \sqrt{9}=3 \), so the sum is (5). Do not add square roots directly inside.
Step 3
Exam Tip
\( \sqrt{4}=2 \) और \( \sqrt{9}=3 \) इसलिए योग (5) है। वर्गमूलों को सीधे अंदर जोड़ना गलत है।
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\( \sqrt{5} \) का वर्ग क्या है?
What is the square of \( \sqrt{5} \)?
Explanation opens after your attempt
Step 1
Concept
( \(\sqrt{5}\)2=5 ). The square of the square root of a positive number gives the same number.
Step 2
Why this answer is correct
The correct answer is C. (5). ( \(\sqrt{5}\)2=5 ). The square of the square root of a positive number gives the same number.
Step 3
Exam Tip
( \(\sqrt{5}\)2=5 ) होता है। किसी धनात्मक संख्या के वर्गमूल का वर्ग वही संख्या देता है।
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कौन सी संख्या (5) और (6) के बीच है?
Which number lies between (5) and (6)?
Explanation opens after your attempt
Correct Answer
B. \( \sqrt{30} \)
Step 1
Concept
\(5^2=25\) and \(6^2=36\), so \( \sqrt{30} \) lies between (5) and (6). Compare squares.
Step 2
Why this answer is correct
The correct answer is B. \( \sqrt{30} \). \(5^2=25\) and \(6^2=36\), so \( \sqrt{30} \) lies between (5) and (6). Compare squares.
Step 3
Exam Tip
\(5^2=25\) और \(6^2=36\) है इसलिए \( \sqrt{30} \) (5) और (6) के बीच है। वर्गों की तुलना करें।
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\( -\sqrt{9} \) का मान क्या है?
What is the value of \( -\sqrt{9} \)?
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{9}=3 \), so \( -\sqrt{9}=-3 \). Apply the outside negative sign at the end.
Step 2
Why this answer is correct
The correct answer is B. ( -3 ). \( \sqrt{9}=3 \), so \( -\sqrt{9}=-3 \). Apply the outside negative sign at the end.
Step 3
Exam Tip
\( \sqrt{9}=3 \) है इसलिए \( -\sqrt{9}=-3 \)। बाहर का ऋण चिह्न अंत में लगाएँ।
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\( \sqrt{2} \) और \( \sqrt{3} \) में कौन बड़ी है?
Which is greater between \( \sqrt{2} \) and \( \sqrt{3} \)?
Explanation opens after your attempt
Correct Answer
B. \( \sqrt{3} \)
Step 1
Concept
For positive numbers, the square root of the greater number is greater. Since (3>2), \( \sqrt{3}>\sqrt{2} \).
Step 2
Why this answer is correct
The correct answer is B. \( \sqrt{3} \). For positive numbers, the square root of the greater number is greater. Since (3>2), \( \sqrt{3}>\sqrt{2} \).
Step 3
Exam Tip
धनात्मक संख्याओं में बड़ी संख्या का वर्गमूल बड़ा होता है। (3>2) इसलिए \( \sqrt{3}>\sqrt{2} \)।
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\( \sqrt{0.04} \) का मान क्या है?
What is the value of \( \sqrt{0.04} \)?
Explanation opens after your attempt
Step 1
Concept
\(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.
Step 2
Why this answer is correct
The correct answer is B. (0.2). \(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.
Step 3
Exam Tip
\(0.2^2=0.04\) इसलिए \( \sqrt{0.04}=0.2 \)। दशमलव के वर्गमूल में स्थान मान ध्यान रखें।
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\( \sqrt{0.25} \) का मान क्या है?
What is the value of \( \sqrt{0.25} \)?
Explanation opens after your attempt
Step 1
Concept
\(0.5^2=0.25\), so \( \sqrt{0.25}=0.5 \). You can check a square root by squaring it.
Step 2
Why this answer is correct
The correct answer is A. (0.5). \(0.5^2=0.25\), so \( \sqrt{0.25}=0.5 \). You can check a square root by squaring it.
Step 3
Exam Tip
\(0.5^2=0.25\) इसलिए \( \sqrt{0.25}=0.5 \)। वर्गमूल के लिए वर्ग करके जाँच सकते हैं।
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\( \sqrt{\frac{49}{64}} \) का मान क्या है?
What is the value of \( \sqrt{\frac{49}{64}} \)?
Explanation opens after your attempt
Correct Answer
A. \( \frac{7}{8} \)
Step 1
Concept
Take square roots of numerator and denominator separately. \( \sqrt{\frac{49}{64}}=\frac{7}{8} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{7}{8} \). Take square roots of numerator and denominator separately. \( \sqrt{\frac{49}{64}}=\frac{7}{8} \).
Step 3
Exam Tip
अंश और हर के अलग-अलग वर्गमूल लें। \( \sqrt{\frac{49}{64}}=\frac{7}{8} \)।
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\( \sqrt{\frac{16}{81}} \) किसके बराबर है?
What is \( \sqrt{\frac{16}{81}} \) equal to?
Explanation opens after your attempt
Correct Answer
A. \( \frac{4}{9} \)
Step 1
Concept
\( \sqrt{16}=4 \) and \( \sqrt{81}=9 \). Therefore the answer is \( \frac{4}{9} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{4}{9} \). \( \sqrt{16}=4 \) and \( \sqrt{81}=9 \). Therefore the answer is \( \frac{4}{9} \).
Step 3
Exam Tip
\( \sqrt{16}=4 \) और \( \sqrt{81}=9 \) है। इसलिए उत्तर \( \frac{4}{9} \) है।
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\( \sqrt{7}\times\sqrt{7} \) का मान क्या है?
What is the value of \( \sqrt{7}\times\sqrt{7} \)?
Explanation opens after your attempt
Step 1
Concept
Multiplying the same square root by itself gives the number inside. Therefore \( \sqrt{7}\times\sqrt{7}=7 \).
Step 2
Why this answer is correct
The correct answer is C. (7). Multiplying the same square root by itself gives the number inside. Therefore \( \sqrt{7}\times\sqrt{7}=7 \).
Step 3
Exam Tip
एक ही वर्गमूल को स्वयं से गुणा करने पर अंदर की संख्या मिलती है। इसलिए \( \sqrt{7}\times\sqrt{7}=7 \)।
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