Question

How do you simplify `sqrt(3/(27y^6))`?

Answer 1

`color(red)(sqrt(3/(27y^6))= 1/(3y^3))`

Explanation:

First divide the numerator and denominator by `3`.

`sqrt(3/(27y^6)) = sqrt(1/(9y^6))`

Remember that `sqrt(x^n) = x^(n/2)`

So `sqrt(y^6) = y^(6/2) = y^3` and

`sqrt(1/(9y^6)) = 1/(3y^3)`

∴ `sqrt(3/(27y^6))= 1/(3y^3)`