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Give an example of two different irrational numbers whose product is a rational number.

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Give an example of two different irrational numbers whose product is a rational number.

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3√2 and 5√2 are irrational numbers

3√2 × 5√2 = 3 × 5 × √2 × √2 = 3 × 5 × 2 = 30 is a rational number. More examples

1. √3 × 7√3 = 4 × 7 × 3 = 84

2. 2√5 × 5√5 = 2 × 5 × 5 = 50

3. √20 × √5 = √20 × √5 = √100 = 10

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