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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