Level 2 • 10/50 questions • 35 seconds per question.
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What is the expansion of ( \(4+\sqrt{3}\)2 )?
A. \(19+8\sqrt{3}\)
( (a+b)2 ) का प्रयोग करें। यहाँ \(16+8\sqrt{3}+3=19+8\sqrt{3}\) मिलता है। / Use ( (a+b)2 ). Here \(16+8\sqrt{3}+3=19+8\sqrt{3}\).
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What is the value of ( \(5+\sqrt{17}\)\(5-\sqrt{17}\) )?
B. (8)
यह संयुग्मी गुणन है। (52-\(\sqrt{17}\)2=25-17=8) होगा। / This is conjugate multiplication. (52-\(\sqrt{17}\)2=25-17=8).
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What is the value of \( \sqrt{32}\times\sqrt{50} \)?
A. (40)
\( \sqrt{32}\times\sqrt{50}=\sqrt{1600}=40 \)। करणी गुणन में अंदर की संख्याएँ गुणा करें। / \( \sqrt{32}\times\sqrt{50}=\sqrt{1600}=40 \). In radical multiplication, multiply the radicands.
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What is the value of \( \sqrt{180}\div\sqrt{20} \)?
B. (3)
\( \frac{\sqrt{180}}{\sqrt{20}}=\sqrt{9}=3 \)। वर्गमूल के भाग में अंदर की संख्याओं का भाग लें। / \( \frac{\sqrt{180}}{\sqrt{20}}=\sqrt{9}=3 \). In division of square roots, divide the radicands.
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What is the value of \( \sqrt{1.69}+\sqrt{0.09} \)?
A. (1.6)
\( \sqrt{1.69}=1.3 \) और \( \sqrt{0.09}=0.3 \) है। योग (1.6) होगा। / \( \sqrt{1.69}=1.3 \) and \( \sqrt{0.09}=0.3 \). The sum is (1.6).
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What is the value of \( \sqrt{\frac{16}{25}}+\sqrt{\frac{9}{64}} \)?
A. \( \frac{47}{40} \)
पहला पद \( \frac{4}{5} \) और दूसरा \( \frac{3}{8} \) है। योग \( \frac{32}{40}+\frac{15}{40}=\frac{47}{40} \) है। / The first term is \( \frac{4}{5} \) and the second is \( \frac{3}{8} \). The sum is \( \frac{32}{40}+\frac{15}{40}=\frac{47}{40} \).
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What is the value of \( \sqrt{\frac{81}{121}}-\sqrt{\frac{4}{49}} \)?
B. \( \frac{41}{77} \)
\( \sqrt{\frac{81}{121}}=\frac{9}{11} \) और \( \sqrt{\frac{4}{49}}=\frac{2}{7} \) है। अंतर \( \frac{63}{77}-\frac{22}{77}=\frac{41}{77} \) है। / \( \sqrt{\frac{81}{121}}=\frac{9}{11} \) and \( \sqrt{\frac{4}{49}}=\frac{2}{7} \). The difference is \( \frac{63}{77}-\frac{22}{77}=\frac{41}{77} \).
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Between which two integers does \( \sqrt{68} \) lie?
C. (8) और (9)(8) and (9)
\(8^2=64\) और \(9^2=81\) है इसलिए \( \sqrt{68} \) (8) और (9) के बीच है। निकट पूर्ण वर्गों की तुलना करें। / \(8^2=64\) and \(9^2=81\), so \( \sqrt{68} \) lies between (8) and (9). Compare nearby perfect squares.
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Between which two integers will \( \sqrt{86} \) lie?
C. (9) और (10)(9) and (10)
\(9^2=81\) और \(10^2=100\) है इसलिए \( \sqrt{86} \) (9) और (10) के बीच है। वर्ग करके सीमा जाँचें। / \(9^2=81\) and \(10^2=100\), so \( \sqrt{86} \) lies between (9) and (10). Check the range by squaring.
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What is the value of \( |-\sqrt{64}+5| \)?
A. (3)
\( -\sqrt{64}+5=-8+5=-3 \) है और ( |-3|=3 )। निरपेक्ष मान दूरी देता है। / \( -\sqrt{64}+5=-8+5=-3 \) and ( |-3|=3 ). Absolute value gives distance.
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