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The product of two Irrational Numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.

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Q: Does an irrational number multiplied by an irrational number equal an irrational number?

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Related questions

Every irrational number, when multiplied by 0.4 will produce an irrational number.

Any irrational number, when multiplied by 0.5 will give an irrational number.

Only if the rational number is 0.

An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.

Every irrational number, when multiplied by 0.5 will produce an irrational number.

Every irrational number, when multiplied by 0.4 will produce an irrational number.

Any irrational number will do.

Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

rational * irrational = irrational.

Any irrational number does.

It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.

Any irrational number does.

A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.

At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.

If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.

Yes, unless the rational number is 0.

The product will also be irrational.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

It certainly is possible. For example, the square root of 2 times the square root of two is equal to two. Another example: pi multiplied by (1/pi) is equal to 1.Ans. 2No, it is not possible. The two 'counterexamples' above involve multiplying the irrational number by another irrational number. But, the question specifies multiplying the irrational number by a whole number other than zero. As long as you obey that restriction you are stuck with an irrational result.

Any number which is irrational will produce an irrational number when multiplied by 0.5

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

No.

Yes, it will always be irrational.

J

Yes