Simplify the Radical Expression square root of 144xy^2z^3

$\sqrt{144 x y^{2} z^{3}}$

Rewrite $144 x y^{2} z^{3}$ as ${(12 y z)}^{2} (x z)$ .

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2} x y^{2} z^{3}}$

Factor out $z^{2}$ .

$\sqrt{12^{2} x y^{2} (z^{2} z)}$

Move $x$ .

$\sqrt{12^{2} y^{2} z^{2} x z}$

Rewrite $12^{2} y^{2} z^{2}$ as ${(12 y z)}^{2}$ .

$\sqrt{{(12 y z)}^{2} x z}$

Add parentheses.

$\sqrt{{(12 y z)}^{2} (x z)}$

Pull terms out from under the radical.

$| 12 y z | \sqrt{x z}$

Remove non-negative terms from the absolute value.

$12 | y z | \sqrt{x z}$