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Question

Check whether $\sqrt{2}$ +15 is an irrational numbers or not.

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Solution

Here,
$\sqrt{2}$ is an irrational number and 15 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, $\sqrt{2}$ +15 is an irrational number.

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check whether the following statement is True or False:

The product of these two irrational numbers

\sqrt{3} + 3 \sqrt{2}

\sqrt{2} - \sqrt{3}

is also an irrational number.

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