Question

simplify square root of 3 + 2 square root 2 is​

Answer 1

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

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

$\sqrt{3 + 2 \sqrt{2} } = 1 + \sqrt{2}$