Simplify square root of 144a^2b^4c^6

$\sqrt{144 a^{2} b^{4} c^{6}}$

Step 1

Rewrite $144 a^{2} b^{4} c^{6}$ as ${(12 a b^{2} c^{3})}^{2}$ .

$\sqrt{{(12 a b^{2} c^{3})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$12 a b^{2} c^{3}$