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

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Answer 1 · 2018-03-28T23:33:13

#-30#

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

Answer 2 · 2018-03-28T23:35:12

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

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)#