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(pi) x (1/pi) = 1

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Q: Give an example of two irrational numbers whose product is not irrational?
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What are two irrational numbers whose product is rational?

Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1


Find two irrational numbers whose product is a rational number?

root 2 * root 2 = 2


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There are no such numbers. The only two numbers that sum to 12 and whose product is -84 are irrational, and so cannot be considered as factors of 84.


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