Write the following surd as a pure surd: $6 \sqrt{3}$.

Given :

The given surd is $6\sqrt{3}$

To do :

We have to write $6\sqrt{3}$ as pure surd.

Solution :

A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.  

Therefore,

$6\sqrt{3} = \sqrt{6\times 6\times 3}= \sqrt{108}$.

$6\sqrt{3}$ as a pure surd is $\sqrt{108}$.

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Updated on: 10-Oct-2022

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