Answer
10
Work Step by Step
The quotient rule holds that $\frac{\sqrt[n] a}{\sqrt[n] b}=\sqrt[n] (\frac{a}{b})$ (where $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $\sqrt[n] b$ is nonzero).
Therefore, $\frac{5\sqrt[4] 48}{\sqrt[4] 3}=5\sqrt[4] (\frac{48}{3})=5\sqrt[4] 16=5\times2=10$
We know that $\sqrt[4] 16=2$, because $2^{4}=16$