Question

How do you simplify square root `sqrt(180x^2)`?

Answer 1

`6sqrt5x`

Explanation:

To simplify `sqrt(180x^2)` write `180` as the product of its prime factors:

`sqrt(180x^2) = sqrt(2xx2xx3xx3xx5xx x^2)`

`=sqrt(2^2 xx 3^2 xx 5 xx x^2)" "larr` find all possible roots.

`= 2xx3xx x sqrt5`

`=6sqrt5x`