Question

express in simplest form with a rational denominator.
\\(\dfrac{4}{\sqrt{5}}\\)

Explanation:

Step1: Rationalize the denominator

Multiply numerator and denominator by $\sqrt{5}$:
$\frac{4}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}}$

Step2: Simplify the expression

Calculate numerator and denominator:
$\frac{4\sqrt{5}}{\sqrt{5} \times \sqrt{5}} = \frac{4\sqrt{5}}{5}$

Answer:

$\frac{4\sqrt{5}}{5}$