Question

Simplify the radical expression. 3sqrt125x^9

Answer 1

Answer: The answer is 5x³.

Step-by-step explanation: We are given to simplify the following radical expression:

$R_e=3\sqrt{125x^9}.$

We are to find the cube root of the 125 and that of x to the power 9 and will multiply both of them to get the complete answer.

The simplification is as follows:

$R_e\\\\=\sqrt[3]{125x^9}\\\\=\sqrt[3]{5^3(x^3)^3}\\\\=5^{3\times \frac{1}{3}}\times (x^3)^{3\times\frac{1}{3}}\\\\=5\times x^3\\\\=5x^3.$

Thus, the answer is 5x³.

Answer 2

Cube root 125x^9
= 5^3 (x^3)^3
= 5x^3

answer is 5x^3