Question

Is $\sqrt{296}$ a pure surd?

Answer 1

A surd which has unity as its rational factor,the other factor being irrational, is pure surd

$\sqrt{296}$ $=$ $\sqrt{2\times 2\times 2\times 37}$

$=$ $\sqrt{2\times 2}$ $\times$$\sqrt{2\times 37}$

$=$ $2\sqrt{74}$

Given surd has 2 as rational factor. Hence, it is not a pure surd. Its a mixed surd.