Simplfy the expression \sqrt110x^(17) y^(12)

Question

Simplfy the expression
`\sqrt110x^(17) y^(12)`

Answer 1

no

Explanation:

sorry bru but i dont understand
`\sqrt110x^(17) y^(12)`

Answer 2

I'm going to assume the square root goes over everything.

To simplify this, you need to find perfect squares under the radical that are factors of the entire
`110x^(17)y^(12)`.

`\sqrt{110x^(17)y^(12)} = \sqrt{x^(16)y^(12)\cdot 110x^(1)}`

Now that stuff in the front will interact nicely with the square root, but the stuff in the back doesn't, so it just stays under the radical.

`\sqrt{x^(16)y^(12)\cdot 110x^(1)} = \sqrt{x^(16)y^(12)}\cdot \sqrt{110x^(1)} =x^8y^6\cdot √(110x)`

And that end piece is the simplified answer.