Question

How do you simplify `-4sqrt(28x)*sqrt(7x^3)`?

Answer 1

`-56x^2`

Explanation:

When multiplying two square roots, we can multiply them into one root.
Write the numbers as the product of prime factors.

`-4sqrt(28x)*sqrt(7x^3) = -4sqrt(2xx2xx7xx7xx x^4)`

=`-4 xx2xx7xxx^2 = -56x^2`