Q: Is 14.3729 a ration or irrational number?

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It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".

Let A be a non-zero rational number and B be an irrational number and let A*B = C.Suppose their product C, is rational.Then, dividing both sides of the equation by A gives B = A/C.Now, since A and C are both rational, A/C must be rational.Therefore you have B (irrational) = A/C (irrational).Clearly, this is impossible and therefore the supposition must be wrong. That is to say, A*B cannot be ration or, it must be irrational.

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!

Related questions

The sum of the three can be rational or irrational.

It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".

It is not, it is irrational. So the question is misguided.

An irrational number is a real number that is not ration. That is, it is a real number than cannot be expressed as a ratio of two integers: that is, as a/b where b is not zero.

If a number has a finite number of decimals, then it is RATIONAL.

No - the sets of rational and irrational numbers have no intersection. A rational number is any Real number that CAN be represented as a ratio of two integers where the denominator is not zero. An Irrational number is any Real number the CANNOT be represented as a ration of two integers.

I think you mean rational. No, there are irrational numbers, like pi, and unreal numbers, like 2/0

Let A be a non-zero rational number and B be an irrational number and let A*B = C.Suppose their product C, is rational.Then, dividing both sides of the equation by A gives B = A/C.Now, since A and C are both rational, A/C must be rational.Therefore you have B (irrational) = A/C (irrational).Clearly, this is impossible and therefore the supposition must be wrong. That is to say, A*B cannot be ration or, it must be irrational.

I'm pretty sure the golden ration is irrational, meaning it has an infinitely long non-repeating sequence of numbers after the decimal.

An irrational number.

Prefix - ir Root - ration Suffix - al

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