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 111-120 of 600 questions.
If \(a=\sqrt{5}\), what type of number is \(a^2\)?
B. परिमेयRational
(a-2=\(\sqrt{5}\)2=5) है इसलिए यह परिमेय है। अपरिमेय का वर्ग कभी-कभी परिमेय होता है। / (a-2=\(\sqrt{5}\)2=5), so it is rational. The square of an irrational can sometimes be rational.
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What is the value of \(\frac{\sqrt{45}}{\sqrt{5}}\)?
C. (3)
\(\frac{\sqrt{45}}{\sqrt{5}}=\sqrt{9}=3\) है। सरलीकरण के बाद परिणाम परिमेय हो सकता है। / \(\frac{\sqrt{45}}{\sqrt{5}}=\sqrt{9}=3\). After simplification the result can be rational.
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What type of number is \(\sqrt[3]{27}\)?
B. परिमेयRational
\(\sqrt[3]{27}=3\) है इसलिए यह परिमेय है। पूर्ण घन का घनमूल परिमेय होता है। / \(\sqrt[3]{27}=3\) so it is rational. The cube root of a perfect cube is rational.
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Choose the correct statement about \(\sqrt[3]{5}\).
C. यह अपरिमेय हैIt is irrational
(5) पूर्ण घन नहीं है इसलिए \(\sqrt[3]{5}\) अपरिमेय है। घनमूल में पूर्ण घन देखना चाहिए। / (5) is not a perfect cube so \(\sqrt[3]{5}\) is irrational. In cube roots check perfect cubes.
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Which of these is irrational between (1) and (3)?
B. \(\sqrt{5}\)
\(\sqrt{5}\) का मान (1) और (3) के बीच है और यह अपरिमेय है। निकट पूर्ण वर्गों से अनुमान लगाएं। / \(\sqrt{5}\) lies between (1) and (3) and is irrational. Estimate using nearby perfect squares.
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What type of number is \(6-\sqrt{2}\)?
C. अपरिमेयIrrational
परिमेय (6) में से अपरिमेय \(\sqrt{2}\) घटाने पर अपरिमेय संख्या मिलती है। अपरिमेय भाग खत्म नहीं होता। / Subtracting irrational \(\sqrt{2}\) from rational (6) gives an irrational number. The irrational part does not disappear.
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What is the simplified form of \(\sqrt{7}+\sqrt{7}\)?
A. \(2\sqrt{7}\)
समान मूलों को जोड़ने पर \(2\sqrt{7}\) मिलता है। यह अपरिमेय है क्योंकि \(\sqrt{7}\) बचता है। / Adding like radicals gives \(2\sqrt{7}\). It is irrational because \(\sqrt{7}\) remains.
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Which is the simplified form of \(\sqrt{12}+\sqrt{75}\)?
A. \(7\sqrt{3}\)
\(\sqrt{12}=2\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\), इसलिए योग \(7\sqrt{3}\) है। पहले दोनों मूल सरल करें। / \(\sqrt{12}=2\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\), so the sum is \(7\sqrt{3}\). Simplify both radicals first.
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What is the simplified form of \(\sqrt{80}-\sqrt{45}\)?
C. \(\sqrt{5}\)
\(\sqrt{80}=4\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\), इसलिए अंतर \(\sqrt{5}\) है। समान मूलों को घटाएं। / \(\sqrt{80}=4\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\), so the difference is \(\sqrt{5}\). Subtract like radicals.
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Which is the simplified form of \(\frac{5}{\sqrt{5}}\)?
B. \(\sqrt{5}\)
\(\frac{5}{\sqrt{5}}=\sqrt{5}\) होता है। हर में मूल हो तो सरलीकरण ध्यान से करें। / \(\frac{5}{\sqrt{5}}=\sqrt{5}\). Simplify carefully when the denominator has a radical.
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