Give an example of two irrationals whose product is rational.

Question:

Give an example of two irrationals whose product is rational.

Solution:

Let the two irrationals be $4 \sqrt{5}$ and $3 \sqrt{5}$.

$(4 \sqrt{5}) \times(3 \sqrt{5})=60$

Thus, product (i.e., 60) is a rational number.

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