what is the simplified form of $sqrt{144x^{36}}$?\n$12x^{6}$\n$12x^{18}$\n$72x^{6}$\n$72x^{18}$

Explanation:

Step1: Simplify square - root of 144

$\sqrt{144}=12$

Step2: Simplify square - root of $x^{36}$

Using the rule $\sqrt{x^{n}}=x^{\frac{n}{2}}$, for $n = 36$, we have $\sqrt{x^{36}}=x^{\frac{36}{2}}=x^{18}$

Step3: Combine the results

$\sqrt{144x^{36}}=\sqrt{144}\cdot\sqrt{x^{36}} = 12x^{18}$

Answer:

B. $12x^{18}$