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​ The value of √(3-2√2) is A. √2 - 1 B. √2 + 1 C. √3 - √2 D. √3 + √2 ​

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The value of \(\sqrt{3-2\sqrt2}\) is

A. √2 - 1

B. √2 + 1

C. √3 - √2

D. √3 + √2

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\(\sqrt{3-2\sqrt2}\)
(try to break the terms in form of (a+b)2 or (a – b )2)

√(√2)2 + 12 – 2 ×√2 ×1) = √(√2 - 1)2 = √2 – 1 .

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