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 241-250 of 648 questions.
Which option is the value of (\(4+\sqrt{7}\)\(4-\sqrt{7}\))?
A. (9)
संयुग्मी गुणन से (42-\(\sqrt{7}\)2=16-7=9) मिलता है। ऐसे प्रश्नों में अंतर वर्ग सूत्र लगाएँ। / Conjugate multiplication gives (42-\(\sqrt{7}\)2=16-7=9). Use the difference of squares formula in such questions.
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Which option is the simplified form of \(\sqrt{72}+\sqrt{128}-\sqrt{50}\)?
A. \(9\sqrt{2}\)
\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\) है। परिणाम \(9\sqrt{2}\) है। / \(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{50}=5\sqrt{2}\). The result is \(9\sqrt{2}\).
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Which option is an irrational number between (8) and (9)?
A. \(\sqrt{70}\)
क्योंकि (64<70<81) इसलिए \(\sqrt{70}\) (8) और (9) के बीच है। (70) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है। / Since (64<70<81), \(\sqrt{70}\) lies between (8) and (9). (70) is not a perfect square so it is irrational.
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If \(x=2+\sqrt{10}\) and \(y=2-\sqrt{10}\), what is the simplified form of (x-y)?
A. \(2\sqrt{10}\)
घटाने पर (2) पद कटते हैं और (\sqrt{10}-\(-\sqrt{10}\)=2\sqrt{10}) मिलता है। चिह्नों का ध्यान रखें। / On subtracting, the (2) terms cancel and (\sqrt{10}-\(-\sqrt{10}\)=2\sqrt{10}). Watch the signs carefully.
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Which option is the value of (\(\sqrt{13}-\sqrt{3}\)\(\sqrt{13}+\sqrt{3}\))?
A. (10)
यह ((a-b)(a+b)=a-2-b-2) है। मान (13-3=10) होगा। / This is ((a-b)(a+b)=a-2-b-2). The value is (13-3=10).
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Which option is the correct expansion of (\(\sqrt{6}+\sqrt{2}\)2)?
A. \(8+4\sqrt{3}\)
(\(\sqrt{6}+\sqrt{2}\)2=6+2+2\sqrt{12}=8+4\sqrt{3}) है। वर्ग सूत्र में (2ab) पद सही लगाएँ। / (\(\sqrt{6}+\sqrt{2}\)2=6+2+2\sqrt{12}=8+4\sqrt{3}). Apply the (2ab) term correctly.
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Which option correctly describes the nature of \(\sqrt[3]{216}\)?
A. परिमेय संख्याRational number
\(\sqrt[3]{216}=6\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है। / \(\sqrt[3]{216}=6\), which is rational. The cube root of a perfect cube is rational.
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Which option makes \(5+\sqrt{m}\) rational?
A. (m=121)
\(\sqrt{121}=11\) परिमेय है इसलिए \(5+\sqrt{121}\) परिमेय होगा। पूर्ण वर्ग वाली जड़ परिमेय होती है। / \(\sqrt{121}=11\) is rational so \(5+\sqrt{121}\) will be rational. The root of a perfect square is rational.
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Which option is the simplified form of \(\sqrt{288}\)?
A. \(12\sqrt{2}\)
\(\sqrt{288}=\sqrt{144\times2}=12\sqrt{2}\) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें। / \(\sqrt{288}=\sqrt{144\times2}=12\sqrt{2}\). Take out the greatest perfect square.
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Which option is the simplified form of \(\sqrt{363}\)?
A. \(11\sqrt{3}\)
\(\sqrt{363}=\sqrt{121\times3}=11\sqrt{3}\) है। जड़ में पूर्ण वर्ग गुणनखंड खोजें। / \(\sqrt{363}=\sqrt{121\times3}=11\sqrt{3}\). Look for a perfect square factor inside the root.
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