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Which option helps identify (2\sqrt{3}+3\sqrt{2}) as a square of a surd expression?
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Answer and explanation
Correct answer: ((\sqrt{3}+\sqrt{2})^2-5)
Step 1: ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}), which does not match the given expression. Step 2: The expression (2\sqrt{3}+3\sqrt{2}) does not directly match any listed square form. Step 3: Always expand and match, not guess by appearance.
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What is the correct answer to this question?
((\sqrt{3}+\sqrt{2})^2-5)
Why is this the correct answer?
Step 1: ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}), which does not match the given expression. Step 2: The expression (2\sqrt{3}+3\sqrt{2}) does not directly match any listed square form. Step 3: Always expand and match, not guess by appearance.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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