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

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Answer 1 · 2018-05-16T12:29:05

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

$12/ root(3)9$ 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]

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