Question

Simplify the radical expression: √36x^4y^5

Answer 1

Assuming everything is under the radical,

\[\sqrt{36x^4y^5}\]
36 is a perfect square, so 6 can be taken out from under the radical
\[6\sqrt{x^4y^5}\]
x^4 is the same as (x^2)^2 so you can take x^2 out from under the radical
\[6x^2\sqrt{y^5}\] You can also take y^2 out from under the radical for the same reason and you will have one y left under the radical.
\[6x^2y \sqrt{y}\]