How do you simplify #sqrt90 *sqrt 40 - sqrt 8 * sqrt 18#?

2 Answers
Mar 30, 2017

Answer:

#=48#

Explanation:

You can combine two roots into one if they are being multiplied or divided.

#color(red)(sqrt90 xxsqrt40)-color(blue)(sqrt8xxsqrt18)#

#color(red)(sqrt3600)-color(blue)(sqrt144)" "larr# now you can find the square roots.

#=60-12#

#=48#

Answer:

48

Explanation:

#sqrt(90) * sqrt(40) - sqrt(8) * sqrt(18) = sqrt(90 * 40) - sqrt(8 * 18)#
#sqrt(3600) - sqrt(9*2*2*4) = 60 - 3 * 2 * 2#
# = 60 - 12 = 48#