# How do you simplify sqrt(3x)((sqrt6x)-sqrt12)?

Nov 14, 2017

$3 x \sqrt{2} - 6$

#### Explanation:

Multiply $\sqrt{3 x}$ with the rest of the terms:
$\sqrt{3 x} \left(\left(\sqrt{6 x}\right) - \sqrt{12}\right)$
sqrt(3x)*sqrt(6x))-sqrt(3x)*sqrt(12))
$\sqrt{3 \cdot 6} \cdot \sqrt{x \cdot x} - \sqrt{3 \cdot 12}$
$\sqrt{18} \cdot \sqrt{{x}^{2}} - \sqrt{36}$
$3 \sqrt{2} \cdot x - 6$
$3 x \sqrt{2} - 6$