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Types and Simplest Form of Surds

Which of the ...

Question

Which of the following surds is/are pure surds?

$5 - \sqrt{2}$

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$\sqrt{3}$

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$5 \sqrt{2}$

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$2 + \sqrt{3}$

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Solution

The correct option is B
$\sqrt{3}$

Pure surds are the simple surds which have coefficient 1.

In the given options, only $\sqrt{3}$ and $5 \sqrt{2}$ are simple surds. Among them, only $\sqrt{3}$ has coefficient 1.

So, $\sqrt{3}$ is pure surd.

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