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# Rationalisation Calculator

## Get detailed solutions to your math problems with our Rationalisation step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of rationalisation. This solution was automatically generated by our smart calculator:

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

To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{2}$

$\frac{5}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}$
3

Multiplying fractions $\frac{5}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

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

When multiplying two powers that have the same base ($\sqrt{2}$), you can add the exponents

$\frac{5\sqrt{2}}{\left(\sqrt{2}\right)^2}$
5

Cancel exponents $\frac{1}{2}$ and $2$

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

##  Final answer to the problem

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

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