Question
Write a pair of irrational numbers whose difference is rational.
✓
Answer
$(\sqrt{5}-3)$ and $(\sqrt{5}+3)$ are irrational numbers whose difference is rational.
Thus, we have
$(\sqrt{5}-3)-(\sqrt{5}+3) $
$=\sqrt{5}-3-\sqrt{5}-3$
$=-6$,
which is a rational number.
Thus, we have
$(\sqrt{5}-3)-(\sqrt{5}+3) $
$=\sqrt{5}-3-\sqrt{5}-3$
$=-6$,
which is a rational number.
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