Question

what is the simplified form of $sqrt{144x^{12}}$?
$12x^{6}$
$12x^{18}$
$72x^{6}$
$72x^{18}$

Explanation:

Step1: Split root into product terms

$\sqrt{144x^{12}} = \sqrt{144} \times \sqrt{x^{12}}$

Step2: Simplify square root of 144

$\sqrt{144} = 12$

Step3: Simplify square root of $x^{12}$

$\sqrt{x^{12}} = x^{\frac{12}{2}} = x^6$

Step4: Multiply the simplified terms

$12 \times x^6 = 12x^6$

Answer:

12$x^6$ (corresponding to the first option: $12x^6$)