Question

State with reason, whether the following is a surd.

`root(3)(2) root(3)(32)`

Answer 1

`root(3)(2) root(3)(32)` is not a surd

Reason:

`root(3)(2) xx root(3)(32)`

= `root(3)(2 xx 32)`

= `root(3)(64)`

64 = 4³,

Perfect cube,

So cube root is 4 rational.

Not a surd.