Question

State with reason, whether the following is a surd.

`root(3)(81)`

Answer 1

`root(3)(81)` is a Surd

Reason:

81 = 3⁴ which is a rational number.

`root(3)(81) = 81^(1//3)` is not an integer since `4/3` is not integer power.

Cube root of 81 is irrational.

It’s a surd.