Which expression is equivalent to 5√(3) with a rationalized denominator?

To rationalize the denominator, multiply the numerator and the denominator by $\sqrt3$: $\frac{5}{\sqrt3}\cdot\frac{\sqrt3}{\sqrt3}=\frac{5\sqrt3}{\sqrt3\cdot\sqrt3}=\frac{5\sqrt3}{3}$, choice F. This works because $\sqrt3\cdot\sqrt3=3$, and multiplying by $\frac{\sqrt3}{\sqrt3}$ is multiplying by $1$, so the value does not change. Choice G ($\frac{5}{3}$) drops the radical from the numerator. Choice H ($5\sqrt3$) multiplies only the numerator and never adjusts the denominator. Choice J ($\frac{\sqrt3}{5}$) inverts the fraction. A decimal check: $\frac{5}{1.732}\approx2.887$ and $\frac{5(1.732)}{3}\approx2.887$. This keeps the value the same while removing the radical from the bottom.