# How do you simplify sqrt90 *sqrt 40 - sqrt 8 * sqrt 18?

Mar 30, 2017

$= 48$

#### Explanation:

You can combine two roots into one if they are being multiplied or divided.

$\textcolor{red}{\sqrt{90} \times \sqrt{40}} - \textcolor{b l u e}{\sqrt{8} \times \sqrt{18}}$

$\textcolor{red}{\sqrt{3600}} - \textcolor{b l u e}{\sqrt{144}} \text{ } \leftarrow$ now you can find the square roots.

$= 60 - 12$

$= 48$

48

#### Explanation:

$\sqrt{90} \cdot \sqrt{40} - \sqrt{8} \cdot \sqrt{18} = \sqrt{90 \cdot 40} - \sqrt{8 \cdot 18}$
$\sqrt{3600} - \sqrt{9 \cdot 2 \cdot 2 \cdot 4} = 60 - 3 \cdot 2 \cdot 2$
$= 60 - 12 = 48$