How do you simplify -5*sqrt3*4sqrt6?

1 Answer
Jul 7, 2015

=color(blue)(-60) sqrt(2)

Explanation:

(-5.sqrt3). (4.sqrt6)

=color(blue)((-5. 4))(sqrt3 . sqrt6)

=color(blue)(-20) . (sqrt(3.6))

=color(blue)(-20) . (sqrt(18))

=color(blue)(-20) . (sqrt(3.3.2))

=color(blue)(-20) . 3(sqrt(2))

=color(blue)(-60) sqrt(2)