How do you simplify the square root of 6 times square root of 60?

1 Answer
Apr 4, 2018

6 sqrt10

Explanation:

sqrt(6) xx sqrt(60)

sqrt(6 xx 60)

sqrt( 2 xx 3 xx 2 xx 3 xx 5 xx 2 )

sqrt( color(green)(2) xx color(green)(2) xx color(green)(3) xx color(green)(3) xx 2 xx 5 )

sqrt( 2^2 xx 3^2 xx 10 )

2 xx 3sqrt 10

6 sqrt10