Simplify square root of 25xy+ square root of 49xy

$\sqrt{25 x y} + \sqrt{49 x y}$

Simplify each term.

Rewrite $25 x y$ as $5^{2} (x y)$ .

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

$\sqrt{5^{2} x y} + \sqrt{49 x y}$

Add parentheses.

$\sqrt{5^{2} (x y)} + \sqrt{49 x y}$

$\sqrt{5^{2} (x y)} + \sqrt{49 x y}$

Pull terms out from under the radical.

$5 \sqrt{x y} + \sqrt{49 x y}$

Rewrite $49 x y$ as $7^{2} (x y)$ .

Rewrite $49$ as $7^{2}$ .

$5 \sqrt{x y} + \sqrt{7^{2} x y}$

Add parentheses.

$5 \sqrt{x y} + \sqrt{7^{2} (x y)}$

$5 \sqrt{x y} + \sqrt{7^{2} (x y)}$

Pull terms out from under the radical.

$5 \sqrt{x y} + 7 \sqrt{x y}$

$5 \sqrt{x y} + 7 \sqrt{x y}$

Add $5 \sqrt{x y}$ and $7 \sqrt{x y}$ .

$12 \sqrt{x y}$

Related Questions