Simplify 2 square root of 10y+ square root of 40y-2 square root of y

$2 \sqrt{10 y} + \sqrt{40 y} - 2 \sqrt{y}$

Step 1

Simplify each term.

Rewrite $40 y$ as $2^{2} \cdot (10 y)$ .

Factor $4$ out of $40$ .

$2 \sqrt{10 y} + \sqrt{4 (10) y} - 2 \sqrt{y}$

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

$2 \sqrt{10 y} + \sqrt{2^{2} \cdot 10 y} - 2 \sqrt{y}$

Add parentheses.

$2 \sqrt{10 y} + \sqrt{2^{2} \cdot (10 y)} - 2 \sqrt{y}$

Pull terms out from under the radical.

$2 \sqrt{10 y} + 2 \sqrt{10 y} - 2 \sqrt{y}$

Step 2

Add $2 \sqrt{10 y}$ and $2 \sqrt{10 y}$ .

$4 \sqrt{10 y} - 2 \sqrt{y}$