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 21-30 of 600 questions.
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 is obtained by simplifying \( \sqrt{18} \)?
A. \(3\sqrt{2}\)
\(18=9\times2\) इसलिए \( \sqrt{18}=3\sqrt{2} \)। वर्गमूल में पूर्ण वर्ग गुणनखंड अलग करें। / Since \(18=9\times2\), \( \sqrt{18}=3\sqrt{2} \). Separate perfect-square factors inside square roots.
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What is the simplified form of \( \sqrt{50} \)?
B. \(5\sqrt{2}\)
\(50=25\times2\) इसलिए \( \sqrt{50}=5\sqrt{2} \)। सबसे बड़ा पूर्ण वर्ग गुणनखंड चुनें। / Since \(50=25\times2\), \( \sqrt{50}=5\sqrt{2} \). Choose the largest perfect-square factor.
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What is the correct simplified form of \( \sqrt{8} \)?
B. \(2\sqrt{2}\)
\(8=4\times2\) इसलिए \( \sqrt{8}=2\sqrt{2} \)। पूर्ण वर्ग (4) को बाहर निकालें। / Since \(8=4\times2\), \( \sqrt{8}=2\sqrt{2} \). Take the perfect square (4) outside.
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What is the value of \( \sqrt{2}\times\sqrt{8} \)?
C. (4)
\( \sqrt{2}\times\sqrt{8}=\sqrt{16}=4 \)। गुणन में वर्गमूल के अंदर की संख्याएँ गुणा की जा सकती हैं। / \( \sqrt{2}\times\sqrt{8}=\sqrt{16}=4 \). In multiplication, numbers inside square roots can be multiplied.
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What is the value of \( \sqrt{27}\div\sqrt{3} \)?
A. (3)
\( \frac{\sqrt{27}}{\sqrt{3}}=\sqrt{9}=3 \)। समान वर्गमूल नियम भाग में भी लागू होता है। / \( \frac{\sqrt{27}}{\sqrt{3}}=\sqrt{9}=3 \). The same square-root rule also works in division.
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Which number is greater than (2) and less than (3)?
B. \( \sqrt{6} \)
\(2^2<6<3^2\) इसलिए \( \sqrt{6} \) (2) और (3) के बीच है। अनुमान के लिए वर्गों की तुलना करें। / Since \(2^2<6<3^2\), \( \sqrt{6} \) lies between (2) and (3). Compare squares for estimation.
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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 type of number is \( \pi \) generally considered?
B. अपरिमेय वास्तविक संख्याIrrational real number
\( \pi \) अपरिमेय संख्या है और वास्तविक संख्या रेखा पर स्थित है। इसे \( \frac{22}{7} \) के बिल्कुल बराबर न मानें। / \( \pi \) is an irrational number and lies on the real number line. Do not treat it as exactly equal to \( \frac{22}{7} \).
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What type of real number is \( \frac{22}{7} \)?
A. परिमेय वास्तविक संख्याRational real number
\( \frac{22}{7} \) दो पूर्णांकों का अनुपात है और हर शून्य नहीं है। इसलिए यह परिमेय वास्तविक संख्या है। / \( \frac{22}{7} \) is a ratio of two integers with non-zero denominator. So it is a rational real number.
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