Question

question
express in simplest form with a rational denominator.
\\(\frac{5}{\sqrt{3}}\\)
answer attempt 1 out of 10
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Explanation:

Step1: Rationalize the denominator

To rationalize the denominator of $\frac{5}{\sqrt{3}}$, we multiply the numerator and the denominator by $\sqrt{3}$ (since $\sqrt{a}\times\sqrt{a}=a$ for $a\geq0$). So we have $\frac{5\times\sqrt{3}}{\sqrt{3}\times\sqrt{3}}$.

Step2: Simplify the expression

Simplify the denominator: $\sqrt{3}\times\sqrt{3} = 3$. The numerator is $5\sqrt{3}$. So the expression becomes $\frac{5\sqrt{3}}{3}$.

Answer:

$\frac{5\sqrt{3}}{3}$