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Representation of Irrational Numbers on the Number Line

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Question

Check whether $\sqrt{3}$ +30 is an irrational number or not.

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Solution

Here,
$\sqrt{3}$ is an irrational number and 30 is a rational number.
According to the properties,
The sum of any rational number and any irrational number will always be an irrational number.
So, $\sqrt{3}$ +30 is an irrational number.

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Representation of Irrational Numbers on the Number Line

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