Question

State with reason, whether the following is a surd.

`root(3)(9) root(3)(24)`

Answer 1

`root(3)(9) root(3)(24)` is not a surd

Reason:

`root(3)(9) xx root(3)(24)`

= `root(3)(9 xx 24)`

= `root(3)(216)`

216 = 6³,

Perfect cube, 

So cube root is 6 rational.

Not a surd.