Simplify the radical. Assume that all variables represent positive real numbers
-$\sqrt[6]{\frac{\mathrm{s}^{3}}{15,625}}$

A) $\sqrt{6 \frac{s^{3}}{15,625}}$

B) $\frac{s}{5}$

C) $\frac{\sqrt[6]{s^{3}}}{5}$

D) $\frac{\sqrt[6]{s}}{5}$

Question

Simplify the radical. Assume that all variables represent positive real numbers
-$\sqrt[6]{\frac{\mathrm{s}^{3}}{15,625}}$

A) $\sqrt{6 \frac{s^{3}}{15,625}}$

B) $\frac{s}{5}$

C) $\frac{\sqrt[6]{s^{3}}}{5}$

D) $\frac{\sqrt[6]{s}}{5}$

Quizplus · Accepted Answer

The given expression is $\sqrt[6]{\frac{s^{3}}{15,625}}$. Since $15,625 = 5^6$, the expression simplifies to $\frac{\sqrt[6]{s^{3}}}{5}$.

Simplify the Radical s315,6256\sqrt[6]{\frac{\mathrm{s}^{3}}{15,625}}615,625s3​​ A) 6s315,625\sqrt{6 \frac{s^{3}}{15,625}}615,625s3​​ B) s5\frac{s}{5}5s​ C) s365\frac{\sqrt[6]{s^{3}}}{5}56s3​​ D) s65\frac{\sqrt[6]{s}}{5}56s​​