Q: How do you factor an irrational number?

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No.

By definition, an irrational numbers cannot have any integer factors. So there can be no common factor where an irrational number is concerned.

An irrational number.

When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.

It is not an irrational number!

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No.

By definition, an irrational numbers cannot have any integer factors. So there can be no common factor where an irrational number is concerned.

A prime number is a natural number that has no natural number as a factor other than itself or 1. An irrational number is not a natural number, so an irrational number can't be prime.

An irrational number.

No. The sum of an irrational number and any other [real] number is irrational.

The sum of a rational and irrational number must be an irrational number.

No, 3.56 is not an irrational number. 3.56 is rational.

rational * irrational = irrational.

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

Absolutely. 1 is a factor of all prime (and nonprime) numbers. 1 times the number is the number. Therefore, 1 is a factor of irrational numbers such as pi.

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.