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Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.

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โˆ™ 14y ago
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โˆ™ 4y ago

Depending on the value of both numbers if one is zero it will be irrational.

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Q: Does an irrational number times an irrational number equal an irrational number?
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Related questions

Does a rational number times an irrational number equal a rational number?

No. If the rational number is not zero, then such a product is irrational.


What does a rational number times an irrational number equal?

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.


Does pi times any number equal an irrational number?

Since pi is irrational, its product with any other number is also irrational. The only exception is a multiple of its own reciprocal.


Can the subtraction of a rational and an irrational number equal to an irrational number?

No.


Can an irrational number minus a rational number equal an irrational number?

Yes, it will always be irrational.


Does an irrational number plus a rational number equal an irrational number?

Yes


What does The sum of a rational number and irrational number equal?

The sum is irrational.


What number times itself equal to 84?

The square root of 84 is irrational and is approx 9.1652.


Does an irrational plus a rational number equal an irrational number?

Yes, always.


What is a irrational number equal to the circumference to the diameter of the circle?

The circumference of a circle divided by its diameter is equal to pi which is an irrational number.


Why is it not possible for a whole number other than 0 multiplied by an irrational number to be equal a rational 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.


Is the product of a rational number and an irrational number an irrational?

Not necessarily. 0 times any irrational number is 0 - which is rational.