Expert Mathematics Chapter 1: Real Numbers Class 10 Level 13

कौन-सा विकल्प \(2\sqrt{3}+3\sqrt{2}\) को एक वर्गमूल के वर्ग के रूप में पहचानने में मदद करता है?

Which option helps identify \(2\sqrt{3}+3\sqrt{2}\) as a square of a surd expression?

Explanation opens after your attempt
Correct Answer

A. (\(\sqrt{3}+\sqrt{2}\)2-5)

Step 1

Concept

(\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}), which does not match the given expression.

Step 2

Why this answer is correct

The expression \(2\sqrt{3}+3\sqrt{2}\) does not directly match any listed square form.

Step 3

Exam Tip

Always expand and match, not guess by appearance. चरण 1: (\(\sqrt{3}+\sqrt{2}\)2=3+2+2\sqrt{6}=5+2\sqrt{6}) होता है, यह दिए गए पद जैसा नहीं है। चरण 2: दिए गए \(2\sqrt{3}+3\sqrt{2}\) को सीधे इस रूप में मिलाना संभव नहीं है; इसलिए यह विकल्पों में कोई सीधा वर्ग नहीं बनाता। चरण 3: ऐसे प्रश्न में पहले प्रसार करके मिलान करें, अनुमान से नहीं।

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The correct answer is A. (\(\sqrt{3}+\sqrt{2}\)2-5).

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