# How do you multiply [sqrt(2) + sqrt(7)]*[sqrt(3) - sqrt(7)]?

Jul 6, 2015

Use the FOIL method for multiplying two binomials.

#### Explanation:

The FOIL method for multiplying two binomials indicates the order in which the terms should by multiplied.

$\left(\sqrt{2} + \sqrt{7}\right) \left(\sqrt{3} - \sqrt{7}\right)$ =

$\sqrt{2} \sqrt{3} - \sqrt{2} \sqrt{7} + \sqrt{7} \sqrt{3} - \sqrt{7} \sqrt{7}$ =

$\sqrt{6} - \sqrt{14} + \sqrt{21} - 7$