Question

Simplify.

Enter your answer, in simplest radical form, in the box.
Basic

Answer 1

Answer:
`-8√(2)`

This is the same as writing -8*sqrt(2)

========================================================

Work Shown:

`7√(32) - 6√(72)\\\\7√(16*2) - 6√(36*2)\\\\7√(16)*√(2) - 6√(36)*√(2)\\\\7*4*√(2) - 6*6*√(2)\\\\28√(2) - 36√(2)\\\\(28 - 36)√(2)\\\\-8√(2)\\\\`

In the second step, I factored each radicand such that I wanted to pull out the largest perfect square factor possible. Then I used the rule
`√(x*y) = √(x)*√(y)`