Question

Is $\sqrt{729}$ an example of a pure surd?

Answer 1

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

$\sqrt{729}$ $=$ $\sqrt{3\times 3\times 3\times 3\times 3\times 3}$

$=$ $\sqrt{3\times 3}$ $\times$$\sqrt{3\times 3}$ $\sqrt{3\times 3}$

$=$ $3\times \times 3\times 3$

$=$ $27$

Hence, its not a surd.