Question

question
express in simplest form with a rational denominator.
\\(\frac{4}{\sqrt{5}}\\)
answer attempt 1 out of 10
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Explanation:

Step1: Rationalize the denominator

To rationalize the denominator of \(\frac{4}{\sqrt{5}}\), we multiply the numerator and the denominator by \(\sqrt{5}\) (since \(\sqrt{a}\times\sqrt{a}=a\) for \(a\geq0\)). So we have \(\frac{4\times\sqrt{5}}{\sqrt{5}\times\sqrt{5}}\).

Step2: Simplify the expression

Simplify the denominator: \(\sqrt{5}\times\sqrt{5} = 5\). The numerator is \(4\sqrt{5}\). So the expression becomes \(\frac{4\sqrt{5}}{5}\).

Answer:

\(\frac{4\sqrt{5}}{5}\)