Question
Give an example of two irrationals whose sum is rational.
HINT: Take $\big(2+\sqrt3\big)$ and $\big(2-\sqrt3\big).$
HINT: Take $\big(2+\sqrt3\big)$ and $\big(2-\sqrt3\big).$
✓
Answer
Let $\big(2+\sqrt3\big),\big(2-\sqrt3\big)$ be two irrationals.
$\therefore\big(2+\sqrt3\big)+\big(2-\sqrt3\big)=4=$ rational number
$\therefore\big(2+\sqrt3\big)+\big(2-\sqrt3\big)=4=$ rational number
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