Question

What type of a set of number would be numbers that have a radical?

Answer 1

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Answer 2

\[\sqrt{15}\]

Answer 3

Numbers that don't have radicals are numbers that are perfect squares, cubes, etc.

For example, \(25=5^2,16=4^2\) and \(9=3^2\). When we take square roots of them, we have \( \sqrt 25 =5 ,\sqrt 16=4\) and \(\sqrt 9 =3\). These don't keep the radical because they are perfect squares.

Numbers that like these are called irrational.

Answer 4

Thanks!