How do you simplify #-3sqrt5*sqrt20#?

2 Answers
Mar 28, 2018

Answer:

#-30#

Explanation:

#-3sqrt5*sqrt(4*5)#
#-3sqrt5*2sqrt5#
#-6*5#
#-30#

Mar 28, 2018

Answer:

Combine terms in the radical to find the simplified expression is -30

Explanation:

We can multiply the radicals directly, since they're the same root:

#-3sqrt(5)*sqrt(20)=-3sqrt(5*20)#

Once we carry out the multiplication under the radical, we can then simplify:

#rArr -3sqrt(100)=-3*10#

#color(red)(rArr -30)#