# How do you add sqrt75 +sqrt48 -sqrt243?

Mar 9, 2018

You can rewrite these roots as a number multiplied by the root of tree.

#### Explanation:

$\sqrt{75}$ + $\sqrt{48}$ - $\sqrt{243}$ =
$\sqrt{3 \cdot 25}$ + $\sqrt{3 \cdot 16}$ - $\sqrt{3 \cdot 81}$ =
5$\sqrt{3}$ + 4$\sqrt{3}$ - 9*$\sqrt{3}$ = (5 + 4 - 9) * $\sqrt{3}$ = 0 * $\sqrt{3}$ = 0