Question

Can a radical ever be rational?

Answer 1

A radical can sometimes be radical, if the number under it was a square root. Some examples include radical 9, which would simplify to 3, and radical 64, which would simplify to 8. 

Answer 2

The right answer is yes, sometimes a radical can be rational.

Explanation:

In theory a radical is a number with the next form:
`\sqrt[n]{x}`, the radicals can be rationals when x is written as zn, where z is an integer.

an example of a rational number that can be a radical is
`\sqrt[3]{125}=5`

this is because 125 is a perfect third power of 5 and can be expressed as
`5^(3)`, and since 5 is an integer we can say is a rational.

another example is
`\sqrt[3]{8}`