Question

What is `(root9(8) )/(root12(16)` in simplified radical form?

Answer 1

`root(9)8/root(12)16=1`

Explanation:

`root(9)8/root(12)16`

= `root(9)(2^3)/root(12)(2^4)`

= `(2^3)^(1/9)/(2^4)^(1/12`

= `(2^(3xx1/9))/(2^(4xx1/12))`

= `2^(1/3)/2^(1/3)`

= `1`