Algebra Examples

$\sqrt{\sqrt{16 x^{4} y^{4}}}$

Step 1

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

$\sqrt{\sqrt{{(4 x^{2} y^{2})}^{2}}}$

Step 2

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

$\sqrt{4 x^{2} y^{2}}$

Step 3

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

$\sqrt{{(2 x y)}^{2}}$

Step 4

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

$2 x y$