How do you simplify square root of -10 times the root of -40?

1 Answer
Sep 10, 2015

Answer:

#sqrt(-10) * sqrt(-40) = color(green)(20#

Explanation:

square root of -10 times the root of -40 can be written as :

#sqrt(-10) * sqrt(-40)#

One of the rules in Exponents says that #color(blue)(sqrta*sqrtb=sqrt(ab)#

Hence #sqrt(-10) * sqrt(-40) = sqrt(-10*-40)#

#=sqrt(400)#

#=sqrt(20*20)#

#=color(green)(20#

PS: It can also be equal to #-20#, but #color(green)(20# is the principal square root.