what is the square root of $16x^{36}$?\n$4x^{6}$\n$4x^{18}$\n$8x^{6}$\n$8x^{18}$

Explanation:

Step1: Find square - root of coefficient

$\sqrt{16}=4$

Step2: Use exponent rule for square - root

For $\sqrt{x^{36}}$, by the rule $\sqrt{a^{m}}=a^{\frac{m}{2}}$, we have $\sqrt{x^{36}} = x^{\frac{36}{2}}=x^{18}$

Step3: Combine results

The square - root of $16x^{36}$ is $4x^{18}$

Answer:

B. $4x^{18}$