Question

How do you rationalize the denominator and simplify `12/root3(9)`?

Answer 1

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

Explanation:

`12/ root(3)9` Multiplying by `9^(2/3)` on both numerator

and denominator we get `(12*9^(2/3))/( root(3)9*9^(2/3))`

`= (12*9^(2/3))/( 9^(1/3+2/3))=(12*root(3)81)/9`

`(12*3*root(3)3)/9 = 4 root(3)3` [Ans]