Question

rationalize the denominator and simplify.
\\(\frac{4}{sqrt{10}}\\)

Explanation:

Step1: Multiply by $\frac{\sqrt{10}}{\sqrt{10}}$

$\frac{4}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}} = \frac{4\sqrt{10}}{\sqrt{10} \times \sqrt{10}}$

Step2: Simplify the denominator

$\frac{4\sqrt{10}}{10}$

Step3: Reduce the fraction

$\frac{4\sqrt{10}}{10} = \frac{2\sqrt{10}}{5}$

Answer:

$\frac{2\sqrt{10}}{5}$