Give an example of two irrationals whose product is rational.

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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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Similar questions

(i) Give an example of two irrationals whose sum is rational.

(ii) Give an example of two irrationals whose product is rational.

Give an example of two irrational numbers whose
a. sum is rational.
b. product is rational.
c. quotient is rational.

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