# How do you simplify (4+2sqrt2)(5+3sqrt2)?

$= \left(4 \cdot 5\right) + \left(4 \cdot 3 \sqrt{2}\right) + \left(5 \cdot 2 \sqrt{2}\right) + \left(2 \cdot 3 \sqrt{2} \sqrt{2}\right) =$
$= 20 + 12 \sqrt{2} + 10 \sqrt{2} + 12 =$
$= 32 + 22 \sqrt{2}$
$= 2 \left(16 + 11 \sqrt{2}\right)$