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Show that 5-2√3irrantion number |
| Answer» assume that 5-2 root 3 is rational5-2 root 3 = a/b , where a and b are integers .\xa0-2 root 3 = a/b - 52 root 3 = 5 - ab\xa02 root 3 = 5b/b - a/broot 3 = 5b - a / 2bwe know that a, b , 2 and 5 are integers and they are also rational\xa0therefore root 3 will be rational\xa0but we know that root 3 is irrationalthere is a contradictionso, 5 - 2 root 3 is an irrational number. Thank you?? | |