Question

How do you simplify `1/3 sqrt 54`?

Answer 1

`=sqrt6`

Explanation:

`54` is not a square number, but before you reach fora calculator, find its prime factors first.

`1/3sqrt54 = 1/3sqrt(2xx3xx3xx3) = 1/3sqrt(2xx3xx(3xx3))`

There is a square in the factors, so we can simplify something!

`=1/3 xx3sqrt6`

`=sqrt6`