Question

simplify
$\sqrt{3 + 2 \sqrt{2} }$
​

Answer 1

Solution :

$\sqrt{3 + 2 \sqrt{2} }$

= $\sqrt{(2+1+ 2 \sqrt{2×1}) }$

=√[(√2)²+1²+2√2×√1]

= √(√2+1)²

= √2 + 1

Therefore,

$\sqrt{3 + 2 \sqrt{2} }$

= $\sqrt2 + 1 $

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