How do you multiply #-7sqrt3 *2sqrt10#?

1 Answer
Mar 24, 2018

Answer:

#-14 sqrt(30 )#

Explanation:

This is a binomial separated by a multiplication sign.

To handle this:

  1. multiply everything NOT under the square root signs or radicals
  2. multiply everything under the radicals
  3. combine (by multiplying those two terms together):

#-7 xx 2 = -14#

#sqrt(3) xx sqrt(10) = sqrt(30)#

Since #sqrt(30)# cannot be simplified, #-14sqrt(30)# is the answer.