Question

State with reason, whether the following is a surd.

`sqrtroot(3)(5)`

Answer 1

`sqrtroot(3)(5)` is a surd

Reason:

`root(3)(5) = 5^(1//3)` is irrational but positive rational base 5, root 3.

Square root of this is `(5^(1//3))^(1//2) = 5^(1//6) = root(6)(5)`, which is a root of rational number 5.

It is irrational.

It’s a surd.