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velox_xox
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Homework Statement
Simplify. [itex]\sqrt[3]{\frac{5}{4}} [/itex]
The answer according to the textbook is: [itex]\frac{\sqrt [3]{10}}{2} [/itex]
Homework Equations
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The Attempt at a Solution
Separated numerator and deonominator into individual cube roots and multiplied both by [itex]\sqrt[3] {4} [/itex].
[tex]\frac{\sqrt [3] {5}}{\sqrt [3] {4}}\cdot \frac {\sqrt [3] {4}}{\sqrt [3] {4}} [/tex]
Multiplied.
[tex] \frac {\sqrt [3] 20}{4} [/tex]
And that is as far as I've gotten. Did I do the process wrong? Because I do see that '20' and '4' could be simplified to '10' and '2' respectively, but not from the way I did it. I shall endeavor to not bend the rules of algebra to get the right answer, so what way should I have done it instead?
Also, if I could request the "tiniest" hints possible and then if I don't get it, increasingly larger hints; I would greatly appreciate it. (I'm trying my best to challenge myself to grasp the subject as much as I can on my own. And I do have people readily around me that are very good at math, but the problem is they just give the answer and process away without letting me earn it. That's why I'm here at PF.) So, please and thanks in advance!