Pre-Algebra Examples

$\sqrt[10]{36 x^{4} y^{6}}$

Step 1

Rewrite $36 x^{4} y^{6}$ as ${(6 x^{2} y^{3})}^{2}$ .

$\sqrt[10]{{(6 x^{2} y^{3})}^{2}}$

Step 2

Rewrite $\sqrt[10]{{(6 x^{2} y^{3})}^{2}}$ as $\sqrt[5]{\sqrt{{(6 x^{2} y^{3})}^{2}}}$ .

$\sqrt[5]{\sqrt{{(6 x^{2} y^{3})}^{2}}}$

Step 3

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

$\sqrt[5]{6 x^{2} y^{3}}$