Level 5 • 14/50 questions • 40 seconds per question.
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What is \( \sqrt{81} \) equal to?
B. (9)
\(9^2=81\) इसलिए \( \sqrt{81}=9 \)। पूर्ण वर्गों के वर्गमूल जल्दी पहचानें। / Since \(9^2=81\), \( \sqrt{81}=9 \). Identify square roots of perfect squares quickly.
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Between which two integers does \( \sqrt{20} \) lie?
C. (4) और (5)(4) and (5)
\(4^2=16\) और \(5^2=25\) है इसलिए \( \sqrt{20} \) (4) और (5) के बीच है। वर्गों से अनुमान लगाएँ। / \(4^2=16\) and \(5^2=25\), so \( \sqrt{20} \) lies between (4) and (5). Estimate using squares.
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Which number is an irrational real number?
C. \( \sqrt{17} \)
(17) पूर्ण वर्ग नहीं है इसलिए \( \sqrt{17} \) अपरिमेय है। फिर भी यह वास्तविक संख्या है। / (17) is not a perfect square, so \( \sqrt{17} \) is irrational. Still, it is a real number.
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What is the value of \( \sqrt{2}\times\sqrt{18} \)?
A. (6)
\( \sqrt{2}\times\sqrt{18}=\sqrt{36}=6 \)। गुणा में वर्गमूल के अंदर की संख्याएँ गुणा करें। / \( \sqrt{2}\times\sqrt{18}=\sqrt{36}=6 \). In multiplication, multiply the numbers inside square roots.
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B. \( \sqrt{4}+\sqrt{9}=5 \)
\( \sqrt{4}=2 \) और \( \sqrt{9}=3 \) इसलिए योग (5) है। वर्गमूलों को सीधे अंदर जोड़ना गलत है। / \( \sqrt{4}=2 \) and \( \sqrt{9}=3 \), so the sum is (5). Do not add square roots directly inside.
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What is the square of \( \sqrt{5} \)?
C. (5)
( \(\sqrt{5}\)2=5 ) होता है। किसी धनात्मक संख्या के वर्गमूल का वर्ग वही संख्या देता है। / ( \(\sqrt{5}\)2=5 ). The square of the square root of a positive number gives the same number.
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Which number lies between (5) and (6)?
B. \( \sqrt{30} \)
\(5^2=25\) और \(6^2=36\) है इसलिए \( \sqrt{30} \) (5) और (6) के बीच है। वर्गों की तुलना करें। / \(5^2=25\) and \(6^2=36\), so \( \sqrt{30} \) lies between (5) and (6). Compare squares.
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What is the value of \( -\sqrt{9} \)?
B. ( -3 )
\( \sqrt{9}=3 \) है इसलिए \( -\sqrt{9}=-3 \)। बाहर का ऋण चिह्न अंत में लगाएँ। / \( \sqrt{9}=3 \), so \( -\sqrt{9}=-3 \). Apply the outside negative sign at the end.
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Which is greater between \( \sqrt{2} \) and \( \sqrt{3} \)?
B. \( \sqrt{3} \)
धनात्मक संख्याओं में बड़ी संख्या का वर्गमूल बड़ा होता है। (3>2) इसलिए \( \sqrt{3}>\sqrt{2} \)। / For positive numbers, the square root of the greater number is greater. Since (3>2), \( \sqrt{3}>\sqrt{2} \).
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What is the value of \( \sqrt{0.04} \)?
B. (0.2)
\(0.2^2=0.04\) इसलिए \( \sqrt{0.04}=0.2 \)। दशमलव के वर्गमूल में स्थान मान ध्यान रखें। / \(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.
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What is the value of \( \sqrt{0.25} \)?
A. (0.5)
\(0.5^2=0.25\) इसलिए \( \sqrt{0.25}=0.5 \)। वर्गमूल के लिए वर्ग करके जाँच सकते हैं। / \(0.5^2=0.25\), so \( \sqrt{0.25}=0.5 \). You can check a square root by squaring it.
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What is the value of \( \sqrt{\frac{49}{64}} \)?
A. \( \frac{7}{8} \)
अंश और हर के अलग-अलग वर्गमूल लें। \( \sqrt{\frac{49}{64}}=\frac{7}{8} \)। / Take square roots of numerator and denominator separately. \( \sqrt{\frac{49}{64}}=\frac{7}{8} \).
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What is \( \sqrt{\frac{16}{81}} \) equal to?
A. \( \frac{4}{9} \)
\( \sqrt{16}=4 \) और \( \sqrt{81}=9 \) है। इसलिए उत्तर \( \frac{4}{9} \) है। / \( \sqrt{16}=4 \) and \( \sqrt{81}=9 \). Therefore the answer is \( \frac{4}{9} \).
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What is the value of \( \sqrt{7}\times\sqrt{7} \)?
C. (7)
एक ही वर्गमूल को स्वयं से गुणा करने पर अंदर की संख्या मिलती है। इसलिए \( \sqrt{7}\times\sqrt{7}=7 \)। / Multiplying the same square root by itself gives the number inside. Therefore \( \sqrt{7}\times\sqrt{7}=7 \).
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