What is (-7 square root of 3)(-4 square root of 10)?

1 Answer
Ken C.
Sep 22, 2015

#28sqrt(30)#

Explanation:

All we do here is multiply the stuff outside the square roots and the stuff inside the square roots.

#(-7sqrt(3))(-4sqrt(10))#

#(-7*-4)(sqrt(3)*sqrt(10))# (because -7 and -4 are normal numbers, so we combine them; #sqrt(10)# and #sqrt(3)# are special, so we combine them separately).

#=28sqrt(30)# (simplifying; #sqrt(3)*sqrt(10) = sqrt(10*3) = sqrt(30)#)

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