Prove: a/c & c/d implies ac/bd

  • Thread starter Thread starter aorick21
  • Start date Start date
  • Tags Tags
    Proof
aorick21
2
0
suppose a, b, c, and d are integers. prove that if a/c and c/d, then (ac/bd)
 
Physics news on Phys.org
Counterexample: a=c=d=2, b=1
 
At least, assuming that by a/c you mean that a divides c.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply . Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top