# How do you simplify 7sqrt(3x)-sqrt(12x)?

Apr 13, 2018

$5 \sqrt{3 x}$

#### Explanation:

$7 \sqrt{3 x} - \sqrt{12 x}$

$= 7 \sqrt{3 x} - \sqrt{4 \cdot 3 x}$

Take out $\sqrt{4}$
$= 7 \sqrt{3 x} - \sqrt{3 x} \cdot \sqrt{4}$

$= 7 \sqrt{3 x} - \sqrt{3 x} \cdot 2$

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

Since both expressions have the same radical:
$= 5 \sqrt{3 x}$