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

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Answer 1 · 2018-04-16T21:19:06

$4root3(3)$

$12/(root3(9))$

To rationalize, multiply the expression by $root3(9^2)/root3(9^2)$ :

$12/(root3(9))*root3(9^2)/root3(9^2)=$

$(12(root3(9^2)))/root3(9^3)=$

$(12(root3(81)))/9=$

$(12(root3(27*3)))/9=$

$(12*3(root3(3)))/9=$

$(36(root3(3)))/9=$

$4root3(3)$

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