Simplify square root of 63y- square root of 28y

$\sqrt{63 y} - \sqrt{28 y}$

Step 1

Simplify each term.

Rewrite $63 y$ as $3^{2} \cdot (7 y)$ .

Factor $9$ out of $63$ .

$\sqrt{9 (7) y} - \sqrt{28 y}$

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

$\sqrt{3^{2} \cdot 7 y} - \sqrt{28 y}$

Add parentheses.

$\sqrt{3^{2} \cdot (7 y)} - \sqrt{28 y}$

$\sqrt{3^{2} \cdot (7 y)} - \sqrt{28 y}$

Pull terms out from under the radical.

$3 \sqrt{7 y} - \sqrt{28 y}$

Rewrite $28 y$ as $2^{2} \cdot (7 y)$ .

Factor $4$ out of $28$ .

$3 \sqrt{7 y} - \sqrt{4 (7) y}$

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

$3 \sqrt{7 y} - \sqrt{2^{2} \cdot 7 y}$

Add parentheses.

$3 \sqrt{7 y} - \sqrt{2^{2} \cdot (7 y)}$

$3 \sqrt{7 y} - \sqrt{2^{2} \cdot (7 y)}$

Pull terms out from under the radical.

$3 \sqrt{7 y} - (2 \sqrt{7 y})$

Multiply $2$ by $- 1$ .

$3 \sqrt{7 y} - 2 \sqrt{7 y}$

$3 \sqrt{7 y} - 2 \sqrt{7 y}$

Step 2

Subtract $2 \sqrt{7 y}$ from $3 \sqrt{7 y}$ .

$\sqrt{7 y}$

Related Questions