# How do you simplify (2 + sqrt(-5))(3 + sqrt(-7))?

$\left(6 - \sqrt{35}\right) + i \left(2 \sqrt{7} + 3 \sqrt{5}\right)$
$\left(2 + i \sqrt{5}\right) \left(3 + i \sqrt{7}\right) = 6 + 2 i \sqrt{7} + 3 i \sqrt{5} - \sqrt{35}$