Simplify square root of 147x^3y^3

$\sqrt{147 x^{3} y^{3}}$

Rewrite $147 x^{3} y^{3}$ as ${(7 x y)}^{2} \cdot (3 x y)$ .

Tap for more steps…

Factor $49$ out of $147$ .

$\sqrt{49 (3) x^{3} y^{3}}$

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

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

Factor out $x^{2}$ .

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

Factor out $y^{2}$ .

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

Move $x$ .

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

Move $3$ .

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

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

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

Add parentheses.

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

Add parentheses.

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

Pull terms out from under the radical.

$7 x y \sqrt{3 x y}$

Simplify square root of 147x^3y^3

Download our
App from the store