If c 2 = 12, then show that c is an irrational number.

Question

If       c    2    =  12, then show that c is an irrational number.

Paxton James · Accepted Answer

x          2                                    =        3                                                  (                          c              2                        )                    2                                    =        3                                                  c            2                    4                                    =        3                                      c          2                                    =        12                            c                            =        ±        2                  3                    Since       3   is irrational, so is   ±  2      3

If c 2 = 12, then show that c is an irrational number.

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