Simplify square root of 4x^2- square root of 16y^4

$\sqrt{4 x^{2}} - \sqrt{16 y^{4}}$

Step 1

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

$\sqrt{{(2 x)}^{2}} - \sqrt{16 y^{4}}$

Step 2

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

$2 x - \sqrt{16 y^{4}}$

Step 3

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

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

Step 4

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

$2 x - (4 y^{2})$

Step 5

Multiply $4$ by $- 1$ .

$2 x - 4 y^{2}$