Finite Math Examples

$\sqrt{\frac{b^{4}}{25}}$

Step 1

Rewrite $b^{4}$ as ${(b^{2})}^{2}$ .

$\sqrt{\frac{{(b^{2})}^{2}}{25}}$

Step 2

Rewrite $25$ as $5^{2}$ .

$\sqrt{\frac{{(b^{2})}^{2}}{5^{2}}}$

Step 3

Rewrite $\frac{{(b^{2})}^{2}}{5^{2}}$ as ${(\frac{b^{2}}{5})}^{2}$ .

$\sqrt{{(\frac{b^{2}}{5})}^{2}}$

Step 4

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

$\frac{b^{2}}{5}$