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avatar+269 

Answer this question: https://web2.0calc.com/questions/irrationality-proof

 Mar 27, 2020
 #1
avatar+1970 
-1

This page is going to help you! https://math.stackexchange.com/questions/2049981/create-a-monic-polynomial-with-integer-coefficients-with-sqrt32-sqrt33

 

Hope this does help!

 Mar 27, 2020
 #2
avatar+21017 
+2

I'm going to use "crt" to represent the cube root.

 

Also, I'm going to use this formula:  (a - b)3  =  a3 - 3a2b + 3ab2 - b3

 

y  =  [ x - ( crt(2) + crt(4) ]3

   =  x3 - 3·x2·( crt(2) + crt(4) ) + 3·x·( crt(2) + crt(4) )2 - ( crt(2) + crt(4) )3

   =  x3 - 3·crt(2)·x2 - 3·crt(4)·x2 + 3·crt(4)·x + 12·x + 6·crt(2)·x - 6 - 6·crt(2) - 6·crt(4) 

 Mar 27, 2020

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