Pre-Algebra Examples

$\sqrt{\frac{49 y^{2}}{4}}$

Step 1

Rewrite $49 y^{2}$ as ${(7 y)}^{2}$ .

$\sqrt{\frac{{(7 y)}^{2}}{4}}$

Step 2

Rewrite $4$ as $2^{2}$ .

$\sqrt{\frac{{(7 y)}^{2}}{2^{2}}}$

Step 3

Rewrite $\frac{{(7 y)}^{2}}{2^{2}}$ as ${(\frac{7 y}{2})}^{2}$ .

$\sqrt{{(\frac{7 y}{2})}^{2}}$

Step 4

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

$\frac{7 y}{2}$