Algebra Examples

$\sqrt{\frac{x^{6}}{49 y^{2}}}$

Step 1

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

$\sqrt{\frac{{(x^{3})}^{2}}{49 y^{2}}}$

Step 2

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

$\sqrt{\frac{{(x^{3})}^{2}}{{(7 y)}^{2}}}$

Step 3

Rewrite $\frac{{(x^{3})}^{2}}{{(7 y)}^{2}}$ as ${(\frac{x^{3}}{7 y})}^{2}$ .

$\sqrt{{(\frac{x^{3}}{7 y})}^{2}}$

Step 4

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

$\frac{x^{3}}{7 y}$