Question
Give an examples of two irrationals whose product is rational.
HINT: Take $\big(3+\sqrt2\big)$ and $\big(3-\sqrt2\big).$
HINT: Take $\big(3+\sqrt2\big)$ and $\big(3-\sqrt2\big).$
✓
Answer
Let $2\sqrt3,\ 3\sqrt3$ be two irrationals.
$\therefore2\sqrt3\times3\sqrt3=18=$ rational number
$\therefore2\sqrt3\times3\sqrt3=18=$ rational number
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