Question

Can u get a pure surd when u find the product of two surds....
Plssss.... I need the answer.

Answer 1

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 or complete surd. 

For example, each of the surds √7, √10, √x, ∛50, ∛x, ∜6, ∜15, ∜x, is pure surd. 
therefore the product of 2 surds will yield a mixed sure, which can be converted into pure surd.