Final answer to the problem
$\frac{\sqrt{5}}{5}$
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Step-by-step Solution
Specify the solving method
1
To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{5}$
$\frac{1}{\sqrt{5}}\cdot \frac{\sqrt{5}}{\sqrt{5}}$
Learn how to solve rationalisation problems step by step online.
$\frac{1}{\sqrt{5}}\cdot \frac{\sqrt{5}}{\sqrt{5}}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 1/(5^1/2). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{5}. Multiplying fractions \frac{1}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}}. When multiplying two powers that have the same base (\sqrt{5}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.
Final answer to the problem
$\frac{\sqrt{5}}{5}$