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What happens when a rational number is divided by an irrational number?
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
Which number produces an irrational number when multiplied by?
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.
What The product of a non zero rational and an irrational number is irrational?
The product of a non-zero rational number and an irrational number is irrational because a rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. When you multiply a non-zero rational number by an irrational number, the result cannot be simplified to a fraction, as it retains the non-repeating, non-terminating nature of the irrational number. Therefore, the product remains irrational.
Irrational number when multiplied by 0.4?
If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.
Is the product of a rational number and an irrational number rational or irrational?
Such a product is always irrational - unless the rational number happens to be zero.
What is the result of an irrational number times an rational number?
Unless the rational number is zero, the answer is irrational.
Is the product of an irrational number and a rational number always an irrational number?
Not if the rational number is zero. In all other cases, the product is irrational.
Why is 10 pi irrational?
A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.
Is the product of a rational and irrational number always irrational?
No, but the only exception is if the rational number is zero.
What is an irrational number less than zero?
A negative irrational number, such as -sqrt(2), or -pi.
Is 3pi an irrational number?
Yes. Any time you multiply a rational number by an irrational number, you get an irrational number - unless the rational number is zero.
Is zero an irrational number?
No. Quite simply an irrational number cannot be written as a fraction and you could write zero as a fraction ex. 0/1
