# irrational numbers of 3 and 4?

Irrational numbers have a long chain of numbers occurring after the decimal point, like pi for instance.

Pi = 3.1415926535897932384626433832795...(continued)

3 isn't an irrational number itself, because there isn't a never-ending chain of numbers that goes along with it. It's quite literally just 3.0, and is also notably a prime number. So its factors are 1 and 3, and those are the two numbers you can use to multiply together to get 3 without getting a decimal answer.

4 also isn't an irrational number on its own. Like 3, 4 just ends at 4.0. Unlike 3, it's not a prime number. In addition to 1 and 4 being its factors, 2 is also a factor. So you can get 4 by multiplying (1*4), (4*1), and (2*2).

You can, however, make 3 and 4 irrational numbers. Take the square root of 3, and you'll have a continuous chain of numbers occurring after the decimal. It would equate to 1.73205081...etc. The square root of 4 is just 2, and is therefore not an irrational number. Take the cubed root instead, giving 1.58740105...etc.

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1 Person thanked the writer.
John McCann commented
'bout time you got back here David!

Things are slow these days in the math and science section.
David Shabazi commented
Yeah, it's definitely been a while. How have you been?
John McCann commented
Old and ill.

Still one plugs on.