Question

Which expression is equivalent to 3 square root of 125x6y15z3?

Answer 1

Assuming this expression is: $\sqrt[3]{125x^6y^{15}z^3}$, we can take the cube roots of each of the individual terms 125, $x^6, y^{15}, z^3$. The cube root of 125 is 5, while the cube root of the exponents is simplified by dividing each exponent by 3. This results in the answer of:$5x^{\frac{6}{3}}y^{\frac{15}{3}}z^{\frac{3}{3}} = 5x^2y^5z$