Simplify square root of 25x- square root of 4x+2 square root of x

$\sqrt{25 x} - \sqrt{4 x} + 2 \sqrt{x}$

Step 1

Simplify each term.

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} x} - \sqrt{4 x} + 2 \sqrt{x}$

Pull terms out from under the radical.

$5 \sqrt{x} - \sqrt{4 x} + 2 \sqrt{x}$

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

$5 \sqrt{x} - \sqrt{2^{2} x} + 2 \sqrt{x}$

Pull terms out from under the radical.

$5 \sqrt{x} - (2 \sqrt{x}) + 2 \sqrt{x}$

Multiply $2$ by $- 1$ .

$5 \sqrt{x} - 2 \sqrt{x} + 2 \sqrt{x}$

Step 2

Combine the opposite terms in $5 \sqrt{x} - 2 \sqrt{x} + 2 \sqrt{x}$ .

Add $- 2 \sqrt{x}$ and $2 \sqrt{x}$ .

$5 \sqrt{x} + 0$

Add $5 \sqrt{x}$ and $0$ .

$5 \sqrt{x}$