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# Rationalise the denominators of the following: (i) 1 by square root 7

5. Rationalise the denominators of the following:

(i)     $\frac{1}{\sqrt{7}}$

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Given number is  $\frac{1}{\sqrt{7}}$

Now, on rationalisation, we will get

$\Rightarrow \frac{1}{\sqrt 7} = \frac{1}{\sqrt 7}\times \frac{\sqrt 7}{\sqrt 7 } = \frac{\sqrt7}{7}$

Therefore, the answer is  $\frac{\sqrt7}{7}$

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