Simplify square root of (4r^10)/(s^6)

$\sqrt{\frac{4 r^{10}}{s^{6}}}$

Step 1

Rewrite $4 r^{10}$ as ${(2 r^{5})}^{2}$ .

$\sqrt{\frac{{(2 r^{5})}^{2}}{s^{6}}}$

Step 2

Rewrite $s^{6}$ as ${(s^{3})}^{2}$ .

$\sqrt{\frac{{(2 r^{5})}^{2}}{{(s^{3})}^{2}}}$

Step 3

Rewrite $\frac{{(2 r^{5})}^{2}}{{(s^{3})}^{2}}$ as ${(\frac{2 r^{5}}{s^{3}})}^{2}$ .

$\sqrt{{(\frac{2 r^{5}}{s^{3}})}^{2}}$

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2 r^{5}}{s^{3}}$