How do you simplify #5sqrt(24)*3sqrt(10)#?

1 Answer
Jul 8, 2015

Answer:

#=color(blue)(60 sqrt15#

Explanation:

#sqrt24 = sqrt(3 . 4 . 2) = color(blue)(2sqrt6#

The expression becomes:

#5sqrt24 . 3sqrt10 = 5 .color(blue)( (2sqrt6)) . 3sqrt10#

#=30sqrt(6.10)#

#=30 sqrt60#

#=30 . sqrt(2 . 3 . 2 .5)#

#=30 . 2 sqrt(15)#

#=color(blue)(60 sqrt15#