Give an example of two irrationals whose sum is rational. - Vidyadip

Question

Give an example of two irrationals whose sum is rational.

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Answer

Consider the irrational numbers, $\big(5+\sqrt7\big)$ and $\big(5-\sqrt7\big)$
$\big(5+\sqrt7\big)+\big(5-\sqrt7\big)=10$
which is rational number.

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