How do you simplify -2sqrt(294)?

1 Answer
Jul 27, 2015

color(blue)(=-14sqrt6

Explanation:

sqrt294 can be simplified by prime factorising 294

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

sqrt294=sqrt(2*3*7*7)

=sqrt(2*3*7^2)

=color(green)(7sqrt6

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

color(blue)(=-14sqrt6