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Give an example of each of two irrational numbers whose sum is a rational number.
To do:
We have to give an example of each of two irrational numbers whose sum is a rational number.
Solution:
A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.
$\sqrt{2}$ is an irrational number.
This implies,
$3\sqrt{2}, -3\sqrt{2}$ are irrational numbers.
Therefore,
$(3\sqrt{2})+(-3\sqrt{2})=(3-3)\sqrt{2}$
$=0$.
$0$ is a rational number.
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