Question

The value of:-
$\sqrt{3 - 2 \sqrt{2} }$
​

Answer 1

$\sqrt{3 - 2 \sqrt{2} } \\ = \sqrt{(2 + 1) - 2 \sqrt{2} } \\ = \sqrt{2 - 2 \sqrt{2} + 1} \\ = \sqrt{ { \sqrt{2} }^{2} - 2 \times \sqrt{2} \times 1 + {1}^{2} } \\ = \sqrt{( { \sqrt{2} - 1) }^{2} } \\ = \sqrt{2} - 1$

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