Level 4 • 10/50 questions • 40 seconds per question.
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What type of real number is \( \sqrt{16} \)?
B. परिमेय संख्याRational number
\( \sqrt{16}=4 \) है और (4) परिमेय संख्या है। पूर्ण वर्ग का वर्गमूल परिमेय होता है। / \( \sqrt{16}=4 \), and (4) is rational. The square root of a perfect square is rational.
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Choose the correct option about \( \sqrt{7} \).
D. यह अपरिमेय वास्तविक संख्या हैIt is an irrational real number
(7) पूर्ण वर्ग नहीं है इसलिए \( \sqrt{7} \) अपरिमेय है। फिर भी यह वास्तविक संख्या है। / (7) is not a perfect square, so \( \sqrt{7} \) is irrational. Still, it is a real number.
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What is the real value of \( \sqrt{25} \)?
A. (5)
\( \sqrt{25}=5 \) क्योंकि \(5^2=25\)। पूर्ण वर्गों के वर्गमूल जल्दी पहचानें। / \( \sqrt{25}=5 \) because \(5^2=25\). Identify square roots of perfect squares quickly.
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The approximate position of \( \sqrt{2} \) is between which numbers?
B. (1) और (2)(1) and (2)
\(1^2<2<2^2\) इसलिए \( \sqrt{2} \) (1) और (2) के बीच है। वर्गों की तुलना से वर्गमूल का स्थान मिलता है। / Since \(1^2<2<2^2\), \( \sqrt{2} \) lies between (1) and (2). Compare squares to locate square roots.
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What is the value of \( \sqrt{9}+\sqrt{4} \)?
A. (5)
\( \sqrt{9}=3 \) और \( \sqrt{4}=2 \) इसलिए योग (5) है। पहले पूर्ण वर्गों के वर्गमूल निकालें। / \( \sqrt{9}=3 \) and \( \sqrt{4}=2 \), so the sum is (5). First find square roots of perfect squares.
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What type of number is \( \sqrt{49} \)?
B. परिमेय वास्तविक संख्याRational real number
\( \sqrt{49}=7 \) है और (7) परिमेय वास्तविक संख्या है। पूर्ण वर्ग का वर्गमूल पूर्णांक हो सकता है। / \( \sqrt{49}=7 \), and (7) is a rational real number. The square root of a perfect square can be an integer.
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What is the value of \( -\sqrt{4} \)?
B. ( -2 )
\( \sqrt{4}=2 \) इसलिए \( -\sqrt{4}=-2 \)। वर्गमूल निकालने के बाद बाहर का ऋण चिह्न लगाएँ। / \( \sqrt{4}=2 \), so \( -\sqrt{4}=-2 \). Apply the outside negative sign after finding the square root.
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What is the value of \( \sqrt{121} \)?
B. (11)
\(11^2=121\) इसलिए \( \sqrt{121}=11 \)। पूर्ण वर्गों की सूची याद रखना उपयोगी है। / Since \(11^2=121\), \( \sqrt{121}=11 \). Remembering perfect squares is useful.
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Which is greater between \( \sqrt{5} \) and \( \sqrt{6} \)?
B. \( \sqrt{6} \)
धनात्मक संख्याओं में बड़ी संख्या का वर्गमूल भी बड़ा होता है। (6>5) इसलिए \( \sqrt{6}>\sqrt{5} \)। / For positive numbers, the square root of the greater number is also greater. Since (6>5), \( \sqrt{6}>\sqrt{5} \).
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Where is \( \sqrt{0} \) located on the real number line?
A. (0) परAt (0)
\( \sqrt{0}=0 \) होता है। इसलिए यह संख्या रेखा पर मूल बिंदु पर स्थित है। / \( \sqrt{0}=0 \). Therefore it is located at the origin on the number line.
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