Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 61-70 of 600 questions.
Which is the simplified form of \( \sqrt{75} \)?
B. \(5\sqrt{3}\)
\(75=25\times3\) इसलिए \( \sqrt{75}=5\sqrt{3} \)। पूर्ण वर्ग गुणनखंड पहचानना जरूरी है। / Since \(75=25\times3\), \( \sqrt{75}=5\sqrt{3} \). Identifying perfect-square factors is important.
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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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What is the value of \( \sqrt{48}\div\sqrt{3} \)?
B. (4)
\( \frac{\sqrt{48}}{\sqrt{3}}=\sqrt{16}=4 \)। वर्गमूल के भाग में अंदर की संख्याओं का भाग लें। / \( \frac{\sqrt{48}}{\sqrt{3}}=\sqrt{16}=4 \). In division of square roots, divide the numbers inside.
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What is the simplified form of \(2\sqrt{5}+3\sqrt{5}\)?
A. \(5\sqrt{5}\)
समान करणी पदों के गुणांक जोड़े जाते हैं। इसलिए \(2\sqrt{5}+3\sqrt{5}=5\sqrt{5}\)। / Coefficients of like surd terms are added. So \(2\sqrt{5}+3\sqrt{5}=5\sqrt{5}\).
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What is the simplified form of \(7\sqrt{3}-2\sqrt{3}\)?
B. \(5\sqrt{3}\)
समान करणी पदों में गुणांक घटते हैं। इसलिए \(7\sqrt{3}-2\sqrt{3}=5\sqrt{3}\)। / In like surd terms, coefficients are subtracted. Hence \(7\sqrt{3}-2\sqrt{3}=5\sqrt{3}\).
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What is the simplified form of \( \sqrt{27}+\sqrt{12} \)?
A. \(5\sqrt{3}\)
\( \sqrt{27}=3\sqrt{3} \) और \( \sqrt{12}=2\sqrt{3} \) हैं। इसलिए योग \(5\sqrt{3}\) है। / \( \sqrt{27}=3\sqrt{3} \) and \( \sqrt{12}=2\sqrt{3} \). So the sum is \(5\sqrt{3}\).
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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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Between which two integers is \( \sqrt{14} \) located?
C. (3) और (4)(3) and (4)
\(3^2=9\) और \(4^2=16\) है इसलिए \( \sqrt{14} \) (3) और (4) के बीच है। निकटतम पूर्ण वर्ग देखें। / \(3^2=9\) and \(4^2=16\), so \( \sqrt{14} \) lies between (3) and (4). Check the nearest perfect squares.
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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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