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

May 16, 2018

$5 \sqrt{3 x}$

#### Explanation:

You want to try and reduce radicals to have the same number inside.

$\sqrt{12 x} = \sqrt{4} \cdot \sqrt{3 x} = 2 \sqrt{3 x}$

$7 \left[\sqrt{3 x}\right] = 7 \sqrt{3 x}$

$7 \sqrt{3 x} - 2 \sqrt{3 x} = 5 \sqrt{3 x}$