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Are all cube roots rational

Updated: 10/15/2022
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11y ago

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No, the vast majority are not.

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8y ago
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Q: Are all cube roots rational
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Related questions

What is prime with cube roots?

All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.


What are all the possible rational roots of -39?

-39 has no rational roots.


What are the 4 kinds of roots?

Not sure what answer you are looking for, but here are 4 types of roots in math. First is a square roots, next is cube roots, then the nth roots, and lastly rational roots.


Are all square roots rational numbers?

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.


Is the cubes root of negative 125 rational?

One of them is: -5 = -5/1 The other two cube roots are complex numbers.


Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


Can the rational zero test be used to find irrational roots as well as rational roots?

Rational zero test cannot be used to find irrational roots as well as rational roots.


If three different irrational numbers are multiplied is the result an irrational number?

Not necessarily. The cube roots of 4, 6 and 9 are all irrational (and different). But their product is 6, not just rational, but an integer.


Do negative numbers have cube roots cube roots?

Yes.


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.


What does transcendental mean in mathematics?

An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.


Are uneven square roots rational or irrational why?

They are rational because the characteristic of evenness and unevenness is relevant only in the context of integers. And all integers are rational.