Question

How do you simplify `sqrt(68ac^3)/sqrt(27a^2)`?

Answer 1

`(2csqrt(51ac))/(9a)`

Explanation:

`(sqrt(68ac^3))/(sqrt(27a^2))` can simplify to `(2csqrt(17ac))/(3asqrt(3))`
Then, you multiply fraction by 1 to not change the value of the expression.
You multiply by `sqrt(3)/sqrt(3)` which is equal to 1.
This is because you need to get rid of the root in the denominator. `sqrt(3)*sqrt(3)=3`

`(2csqrt(17ac))/(3asqrt(3))*(sqrt(3)/sqrt(3))=(2csqrt(51ac))/(3asqrt(9))=(2csqrt(51ac))/(9a)`