Simplify 10 square root of x- square root of 4x

$10 \sqrt{x} - \sqrt{4 x}$

Step 1

Simplify each term.

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

$10 \sqrt{x} - \sqrt{2^{2} x}$

Pull terms out from under the radical.

$10 \sqrt{x} - (2 \sqrt{x})$

Multiply $2$ by $- 1$ .

$10 \sqrt{x} - 2 \sqrt{x}$

Step 2

Subtract $2 \sqrt{x}$ from $10 \sqrt{x}$ .

$8 \sqrt{x}$