How do you simplify #(2x sqrt( 2x))(3 sqrt(5x))#?

1 Answer
Apr 30, 2016

Answer:

If #x >= 0# then

#(2xsqrt(2x))(3sqrt(5x))=6sqrt(10)x^2#

Explanation:

I will assume that we are dealing with #x>=0# and Real square roots.

If #a, b >= 0# then #sqrt(ab) = sqrt(a)sqrt(b)#

#(2xsqrt(2x))(3sqrt(5x))#

#= 2x*3*sqrt(2x*5x)#

#= 6xsqrt(10x^2)#

#= 6xsqrt(10)sqrt(x^2)#

#= 6xsqrt(10)x#

#=6sqrt(10)x^2#