Question

Simplify.


√81x6y2


Assume all variables are nonnegative.

Answer 1

9x³y²

Explanation:

To simplify, factorize 81 in powers of 2 ; x⁶ in powers of 2 and y² in powers of 2.

`\sf √(81x^6y^2)=\sqrt{9^2 * x^(3*2)*y^2}`

`\sf = √(9^2* (x^3)^2)* y^2)\\\\ = 9 * x^3*y^2\\\\=9x^3y^2`