How do you simplify 2sqrt20 - 3sqrt7 - 2sqrt5 + 4sqrt63?

1 Answer
Jul 10, 2015

=2sqrt5 +9sqrt7

Explanation:

sqrt20 =sqrt(2*2*5) = color(blue)(2sqrt5

sqrt63= sqrt(3*3*7) = color(blue)(3sqrt7

The expression becomes:

2*color(blue)(2sqrt5 - 3sqrt7 - 2sqrt5 + 4* color(blue)(3sqrt7

=4sqrt5 - 3sqrt7 - 2sqrt5 + 12sqrt7
=2sqrt5 +9sqrt7