Simplify 5 square root of 4x-4-2 square root of x-1

$5 \sqrt{4 x - 4} - 2 \sqrt{x - 1}$

Step 1

Simplify each term.

Factor $4$ out of $4 x - 4$ .

Factor $4$ out of $4 x$ .

$5 \sqrt{4 (x) - 4} - 2 \sqrt{x - 1}$

Factor $4$ out of $- 4$ .

$5 \sqrt{4 (x) + 4 (- 1)} - 2 \sqrt{x - 1}$

Factor $4$ out of $4 (x) + 4 (- 1)$ .

$5 \sqrt{4 (x - 1)} - 2 \sqrt{x - 1}$

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

$5 \sqrt{2^{2} (x - 1)} - 2 \sqrt{x - 1}$

Pull terms out from under the radical.

$5 (2 \sqrt{x - 1}) - 2 \sqrt{x - 1}$

Multiply $2$ by $5$ .

$10 \sqrt{x - 1} - 2 \sqrt{x - 1}$

Step 2

Subtract $2 \sqrt{x - 1}$ from $10 \sqrt{x - 1}$ .

$8 \sqrt{x - 1}$