Question

simplify the radical expression.
\sqrt3{729x^{6}}
write your answer in the form a\sqrt3{b}, or a\sqrt3{b}, where a and b are constants or expressions in x. use at most one radical in your answer, and at most one absolute value symbol in your expression for a.

Explanation:

Step1: Find cube root of 729

$\sqrt[3]{729} = 9$, since $9^3 = 729$

Step2: Simplify cube root of $x^6$

$\sqrt[3]{x^6} = x^{\frac{6}{3}} = x^2$

Step3: Multiply the two results

$9 \times x^2$

Answer:

$9x^2$