Question

Whole root 3-2root2 + whole root3+2root2

Answer 1

Answer:

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

Step-by-step explanation: