# How do you simplify -2sqrt(294)?

Jul 27, 2015

color(blue)(=-14sqrt6

#### Explanation:

$\sqrt{294}$ can be simplified by prime factorising $294$

Here, $294$ is expressed as a product of its prime factors.

$\sqrt{294} = \sqrt{2 \cdot 3 \cdot 7 \cdot 7}$

$= \sqrt{2 \cdot 3 \cdot {7}^{2}}$

=color(green)(7sqrt6

So,-2sqrt294 = -2*color(green)((7sqrt6)

color(blue)(=-14sqrt6