Question

How do you simplify `sqrt(35x) sqrt(10x)`?

Answer 1

`5xsqrt14`

Explanation:

When you are multiplying or dividing square roots, they can be combined into one square root.

`(35x) xx sqrt(10x) = sqrt(350x^2)`

Write 350 as the product of its prime factors:

`sqrt(350x^2) = sqrt(2xx7xx5xx5x^2) = sqrt(14xx5^2x^2)`

=`5xsqrt14`