Question

simplify by rationalizing the denominator.

\\(\frac{1}{\sqrt{5}}\\)

\\(\frac{1}{\sqrt{5}} = \square\\)
(type an exact answer, using radicals as needed.)

Explanation:

Identify the given expression

The given expression is:

$$ \frac{1}{\sqrt{5}} $$

Multiply numerator and denominator by the radical

To rationalize the denominator, multiply both the numerator and the denominator by \(\sqrt{5}\):

$$ \frac{1 \cdot \sqrt{5}}{\sqrt{5} \cdot \sqrt{5}} $$

Simplify the expression

Simplify the numerator and the denominator:

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

Answer:

Simplify by rationalizing the denominator.

\(\frac{1}{\sqrt{5}} =\) <blank>\(\frac{\sqrt{5}}{5}\)</blank>