SOLUTION: What is the name for the set of numbers that doesn't repeat and doesn't stop dividing?

Question 265670: What is the name for the set of numbers that doesn't repeat and doesn't stop dividing?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the name for the set of numbers that doesn't repeat and doesn't stop dividing?
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That set is called Irrational Numbers because
they cannot be expressed as a Ratio of integers.
Examples are pi, e, sqrt(2), cube-root(7), and an infinite number of others
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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Do you mean the set of numbers that cannot be expressed as the ratio of two integers? If so that would be the Irrational Numbers. Why? Because the numbers that can be expressed as the ratio of two integers are called Rational Numbers. Rational and Irrational as applied to the names of sets of numbers has nothing to do with sanity or the lack thereof. Rational numbers are so called because they can be expressed as a ratio of two integers.

There are two kinds of irrational numbers: Algebraic and Transcendental. Algebraic numbers are roots of non-zero polynomial equations in one variable with rational (equivalently integer) coefficients. Numbers like are algebraic. Other irrational numbers, like are not roots of such equations and are called transcendental.

John

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