Question

Which one of the numbers $64,\sqrt{64},\sqrt[3]{364},\sqrt[4]{464}$ is a surd?

Answer 1

We have,

$64\Rightarrow$ not surd

$\sqrt{64}=8\Rightarrow$ not a surd

$\sqrt[3]{364}=4\Rightarrow$ not a surd

$\sqrt[4]{464}\ne$ rational number & hence is a surd.

Hence, this is the answer.