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# Does an irrational number times an irrational number equal an irrational number?

Updated: 4/28/2022

Wiki User

13y ago

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

Wiki User

13y ago

Anonymous

Lvl 1
3y 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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### 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.

No.

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

Yes, it will always be irrational.

Yes

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

The sum is irrational.

Yes, always.

### What number times itself equal to 84?

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

### 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 an irrational number plus an irrational number equal a rational or an irrational number?

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.