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Q: Is the product of two irrational numbers irrational?

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You get a product which can be rational or irrational.

sqrt(2)*sqrt(3) is an irrational product.

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.

Can be rational or irrational.

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You get a product which can be rational or irrational.

sqrt(2)*sqrt(3) is an irrational product.

The question is nonsense because the product of two rational numbers is never irrational.

The product of two rational number is always rational.

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.

(pi) x (1/pi) = 1

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

No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.

Not necessarily. The sum of two irrational numbers can be rational or irrational.

If you multiply two irrational numbers, the result can be rational, or irrational.

yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.

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