# How do you multiply (sqrt(7) - sqrt(2))(sqrt(4) + sqrt(3))?

Aug 11, 2017

See a solution process below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{\sqrt{7}} - \textcolor{red}{\sqrt{2}}\right) \left(\textcolor{b l u e}{\sqrt{4} + \textcolor{b l u e}{\sqrt{3}}}\right)$ becomes:

$\left(\textcolor{red}{\sqrt{7}} \times \textcolor{b l u e}{\sqrt{4}}\right) + \left(\textcolor{red}{\sqrt{7}} \times \textcolor{b l u e}{\sqrt{3}}\right) - \left(\textcolor{red}{\sqrt{2}} \times \textcolor{b l u e}{\sqrt{4}}\right) - \left(\textcolor{red}{\sqrt{2}} \times \textcolor{b l u e}{\sqrt{3}}\right)$

$2 \sqrt{7} + \sqrt{21} - 2 \sqrt{2} - \sqrt{6}$

$2 \sqrt{7} - 2 \sqrt{2} + \sqrt{21} - \sqrt{6}$