Question

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

Answer 1

`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)`)