Question
Examine, whether the following numbers are rational or irrational: $\sqrt{3}+\sqrt{5}$
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Answer
$\sqrt{3}$ is not a perfect square and it is an irrational number and $\sqrt{5}$ is not a perfect square and is an irrational number. The sum of an irrational number and an irrational number is an irrational number, so $\sqrt{3}+\sqrt{5}$ is an irrational number.
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