Algebra Examples

$\sqrt{\frac{16 m^{2}}{p^{4} q^{6}}}$

Step 1

Rewrite $16 m^{2}$ as ${(4 m)}^{2}$ .

$\sqrt{\frac{{(4 m)}^{2}}{p^{4} q^{6}}}$

Step 2

Rewrite $p^{4} q^{6}$ as ${(p^{2} q^{3})}^{2}$ .

$\sqrt{\frac{{(4 m)}^{2}}{{(p^{2} q^{3})}^{2}}}$

Step 3

Rewrite $\frac{{(4 m)}^{2}}{{(p^{2} q^{3})}^{2}}$ as ${(\frac{4 m}{p^{2} q^{3}})}^{2}$ .

$\sqrt{{(\frac{4 m}{p^{2} q^{3}})}^{2}}$

Step 4

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

$\frac{4 m}{p^{2} q^{3}}$