Question

How do you simplify: square root of x^6*y^6?

Answer 1

Divide the exponent by 2 and this will be the number of variables you can extract from the root.

Explanation:

If you got `sqrt(x^6y^6)`, divide each exponent by the index of the root (in this case, a square root has index 2), we obtain `6/2=3`
So we can extract each variable 3 times. You can see it more graphically this way:

`sqrt(x^6y^6)=sqrt(x^2x^2x^2y^2y^2y^2)=x^3y^3`