Question

How do you simplify `\sqrt { 36x ^ { 7} w ^ { 11} }`?

Answer 1

`6x^3w^5sqrt(xw)`

Explanation:

When dealing with square roots you are looking for squared values that you may 'take outside' the root.

Note that:
`36=6^2`
`x^7=x^2x^2x^2x =(x^2)^3x`

`w^11=(w^2)^5w`

So `sqrt(36x^7w^11)" is the same as "sqrt(6^2(x^2)^3x(w^2)^5w)`

`=6x^3w^5sqrt(xw)`