Trigonometry Examples

$\sqrt{\frac{36 y^{2}}{25}}$

Step 1

Rewrite $36 y^{2}$ as ${(6 y)}^{2}$ .

$\sqrt{\frac{{(6 y)}^{2}}{25}}$

Step 2

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

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

Step 3

Rewrite $\frac{{(6 y)}^{2}}{5^{2}}$ as ${(\frac{6 y}{5})}^{2}$ .

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

Step 4

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

$\frac{6 y}{5}$