what is the square root of 16x^{36}?\n4x^{6}\n4x^{18}\n8x^{6}\n8x^{18}

Explanation:

Step1: Apply square - root rule for product

$\sqrt{16x^{36}}=\sqrt{16}\times\sqrt{x^{36}}$

Step2: Calculate square - root of 16

$\sqrt{16} = 4$

Step3: Calculate square - root of $x^{36}$

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

Step4: Combine results

$4\times x^{18}=4x^{18}$

Answer:

B. $4x^{18}$