Hey, i'm having trouble on how to tackle this question "Prove that the number 2^(1/3)+3^(1/2) is algebraic"

I know i have to show it as a polynomial but I don't know where to begin.

Any help would be appreciated

Thanks

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- November 19th 2013, 05:32 AMpetertyProve that the number 2^(1/3)+3^(1/2) is algebraic
Hey, i'm having trouble on how to tackle this question "Prove that the number 2^(1/3)+3^(1/2) is algebraic"

I know i have to show it as a polynomial but I don't know where to begin.

Any help would be appreciated

Thanks - November 19th 2013, 07:56 AMemakarovRe: Prove that the number 2^(1/3)+3^(1/2) is algebraic
Let . Then for any positive integer n, the number is a linear combination with rational coefficients of some fixed numbers . Find these , and, in particular, k. This means that k + 1 numbers , , , ..., are linearly dependent over . What does this mean?

Edit: I did not notice that this is a pre-university forum, so you may not know about linear dependence. Please say if the description above makes sense to you.