Question

Is this $\sqrt[3]{3211}$ is an example of a pure surd?

Answer 1

We know that a surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.

In other words a surd having no rational factor except unity is called a pure surd.

Since, $\sqrt[3]{3211}$ cannot be reduced further or it has no rational factor except unity.

Hence, $\sqrt[3]{3211}$ is a pure surd.