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 451-460 of 600 questions.
If \(x=\sqrt{2}+\sqrt{3}\) then what is the value of \(x^2\)?
A. \(5+2\sqrt{6}\)
((a+b)2=a-2+b-2+2ab) का प्रयोग करें। सूत्रों का सही उपयोग करें। / Use ((a+b)2=a-2+b-2+2ab). Apply identities carefully.
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Which number is equal to \(\sqrt{72}\)?
B. \(6\sqrt{2}\)
\(72=36\times2\) इसलिए \(\sqrt{72}=6\sqrt{2}\)। पूर्ण वर्ग अलग करें। / \(72=36\times2\), hence \(\sqrt{72}=6\sqrt{2}\). Extract perfect squares.
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If \(a=\sqrt{5}-2\) then what is ((a+2)2)?
B. 5
\(a+2=\sqrt{5}\) इसलिए वर्ग 5 होगा। पहले सरल करें। / \(a+2=\sqrt{5}\), so its square is 5. Simplify first.
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Which of the following is irrational?
C. \(\sqrt{14}\)
14 पूर्ण वर्ग नहीं है। इसलिए \(\sqrt{14}\) अपरिमेय है। / 14 is not a perfect square. Hence \(\sqrt{14}\) is irrational.
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What is the simplified form of \(\sqrt{18}+\sqrt{50}\)?
A. \(8\sqrt{2}\)
\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\)। योग \(8\sqrt{2}\) है। / \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{50}=5\sqrt{2}\). Sum is \(8\sqrt{2}\).
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If \(x=\sqrt{7}\) then \(x+\frac{1}{x}\) is what type of number?
B. अपरिमेयIrrational
\(\sqrt{7}+\frac{\sqrt{7}}{7}\) अपरिमेय रहता है। गुणों को पहचानें। / \(\sqrt{7}+\frac{\sqrt{7}}{7}\) remains irrational. Use irrational number properties.
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Which decimal expansion represents an irrational number?
C. \(0.101001000100001\ldots\)
यह अनंत और अनावर्ती है। इसलिए अपरिमेय है। / It is infinite and non repeating. Hence it is irrational.
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If \(a=\sqrt{3}\) and \(b=\sqrt{12}\) then what is (a+b)?
D. \(5\sqrt{3}\)
\(\sqrt{12}=2\sqrt{3}\) इसलिए योग \(3\sqrt{3}\) नहीं बल्कि \(3\sqrt{3}\)? सही योग \(3\sqrt{3}\) है। / \(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). Simplify before adding.
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If \(\sqrt{x}=9\) then what is (x)?
B. 81
दोनों पक्षों का वर्ग करने पर (x=81)। वर्गमूल के प्रश्नों में वर्ग करें। / Squaring both sides gives (x=81). Square both sides when needed.
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What is the value of \(\sqrt{98}-\sqrt{8}\)?
C. \(5\sqrt{2}\)
\(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(5\sqrt{2}\) है। / \(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Difference is \(5\sqrt{2}\).
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