Simplify square root of 9x- square root of 4x+4 square root of x

$\sqrt{9 x} - \sqrt{4 x} + 4 \sqrt{x}$

Step 1

Simplify each term.

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} x} - \sqrt{4 x} + 4 \sqrt{x}$

Pull terms out from under the radical.

$3 \sqrt{x} - \sqrt{4 x} + 4 \sqrt{x}$

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

$3 \sqrt{x} - \sqrt{2^{2} x} + 4 \sqrt{x}$

Pull terms out from under the radical.

$3 \sqrt{x} - (2 \sqrt{x}) + 4 \sqrt{x}$

Multiply $2$ by $- 1$ .

$3 \sqrt{x} - 2 \sqrt{x} + 4 \sqrt{x}$

Step 2

Simplify by adding terms.

Subtract $2 \sqrt{x}$ from $3 \sqrt{x}$ .

$\sqrt{x} + 4 \sqrt{x}$

Add $\sqrt{x}$ and $4 \sqrt{x}$ .

$5 \sqrt{x}$