Write the Expression in Lowest Terms $\frac{6 z+\sqrt{24 z^{3}}}{3 z}$ A) $2+2 \sqrt{6 z}$

Multiple Choice

Write the expression in lowest terms. Assume that all variables represent positive real numbers.
- $\frac{6 z+\sqrt{24 z^{3}}}{3 z}$

A) $2+2 \sqrt{6 z}$

B) $2+2 \sqrt{2}$

C) $\frac{6+2 \sqrt{6 z}}{3}$

D) $\frac{6+2 \sqrt{6}}{3}$