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

$14 + 7 \sqrt{2}$
$\left(4 + \sqrt{2}\right) \left(3 + \sqrt{2}\right) = 12 + 4 \sqrt{2} + 3 \sqrt{2} + 2 = 14 + 7 \sqrt{2}$