Answer:
[tex]\textsf{D)}\quad6x^{\frac{3}{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{Apply radical rule} \quad\sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\begin{aligned}\implies \sqrt{36x^3} &=\sqrt{36}\sqrt{x^3}\\ & =6\sqrt{x^3}\end{aligned}[/tex]
[tex]\textsf{Apply radical rule} \quad\sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies 6\sqrt{x^3}=6(x^3)^{\frac{1}{2}}[/tex]
[tex]\textsf{Apply radical rule} \quad(a^b)^c=a^{bc}:[/tex]
[tex]\implies 6(x^3)^{\frac{1}{2}}=6x^{\frac{3}{2}}[/tex]
