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
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
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.