Rationalize the denominator of \(\frac{2}{\sqrt[3]{4}+\sqrt[3]{32}}\). The answer can be written in the form of \(\frac{\sqrt[3]{A}}{B}\), where \(A\) and \(B\) are positive integers. Find the minimum possible value of \(A+B\).
∛32 = ∛4 * ∛8 = ∛4 * 2
So we have
2
__________ =
∛4 + ∛32
∛4 + 2 ∛4
___________ =
∛4 ( 1 + 2)
____________ multiply top / bottom by ∛2
3 ∛4
2 ∛2
_____________ =
3 ∛4 * ∛2
________ =
3 * ∛8
3 * 2
∛2
____ A + B = 5 CORRECTED !!!!
3
Thank you!
It's wrong though...
OOPs....just a small error
Should be ∛2 / 3
A + B = 5
Sorry!!!!
+379 
