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 181-190 of 649 questions.
Which option is the simplified form of \(\sqrt{5}+\sqrt{20}-\sqrt{45}\)?
A. (0)
\(\sqrt{20}=2\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\) है। इसलिए \(\sqrt{5}+2\sqrt{5}-3\sqrt{5}=0\) है। / \(\sqrt{20}=2\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). So \(\sqrt{5}+2\sqrt{5}-3\sqrt{5}=0\).
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Which option is the simplified form of \(\frac{2}{\sqrt{2}}\)?
A. \(\sqrt{2}\)
\(\frac{2}{\sqrt{2}}=\sqrt{2}\) है। हर में जड़ हो तो सरल करके प्रकृति पहचानें। / \(\frac{2}{\sqrt{2}}=\sqrt{2}\). Simplify roots in the denominator to identify the nature.
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If \(a=\sqrt{6}+1\), what type of number is (a-1)?
A. अपरिमेय संख्याIrrational number
\(a-1=\sqrt{6}\) है जो अपरिमेय है। पहले अभिव्यक्ति को सरल करें। / \(a-1=\sqrt{6}\), which is irrational. First simplify the expression.
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Which option correctly gives the two nearest integers between which \(\sqrt{2}\) lies?
A. (1) और (2)(1) and (2)
क्योंकि (1<2<4) इसलिए \(1<\sqrt{2}<2\)। वर्गों से जड़ की स्थिति पहचानें। / Since (1<2<4), \(1<\sqrt{2}<2\). Use squares to locate roots.
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Which option correctly compares \(\sqrt{50}\) and \(\sqrt{72}\)?
A. \(\sqrt{72}>\sqrt{50}\)
धनात्मक संख्याओं में अंदर की संख्या बड़ी हो तो वर्गमूल भी बड़ा होता है। (72>50) इसलिए \(\sqrt{72}>\sqrt{50}\)। / For positive numbers a larger number inside the root gives a larger square root. Since (72>50), \(\sqrt{72}>\sqrt{50}\).
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Which option is the value of \(\sqrt{0.81}\)?
A. (0.9)
\(0.9\times0.9=0.81\) इसलिए \(\sqrt{0.81}=0.9\)। यह सांत दशमलव है। / Since \(0.9\times0.9=0.81\), \(\sqrt{0.81}=0.9\). It is a terminating decimal.
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If \(u=5+\sqrt{2}\) and \(v=5-\sqrt{2}\), what is the value of (uv)?
A. (23)
(\(5+\sqrt{2}\)\(5-\sqrt{2}\)=25-2=23) है। संयुग्मी गुणन में अपरिमेय भाग हट जाता है। / (\(5+\sqrt{2}\)\(5-\sqrt{2}\)=25-2=23). In conjugate multiplication the irrational part cancels.
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Which option is the value of \(\sqrt{24}\times\sqrt{6}\)?
A. (12)
\(\sqrt{24}\times\sqrt{6}=\sqrt{144}=12\) है। जड़ों के गुणन में अंदर की संख्याएँ गुणा करें। / \(\sqrt{24}\times\sqrt{6}=\sqrt{144}=12\). In root multiplication multiply the numbers inside.
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Which option correctly describes the nature of \(\sqrt[3]{64}\)?
A. परिमेय संख्याRational number
\(\sqrt[3]{64}=4\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है। / \(\sqrt[3]{64}=4\), which is rational. The cube root of a perfect cube is rational.
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Which option is correct for \(\sqrt[3]{16}\)?
A. यह अपरिमेय हैIt is irrational
(16) पूर्ण घन नहीं है इसलिए इसकी घनमूल अपरिमेय है। घनमूल में पूर्ण घन पहचानें। / (16) is not a perfect cube so its cube root is irrational. Identify perfect cubes in cube roots.
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