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

1 Answer
Aug 2, 2015

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


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: