Saved Bookmarks
| 1. |
How to prove irrational |
|
Answer» Let me tell u the format first with the help of an example I am taking √5 here:Let us assume that\xa0√5 is a rational number.we know that the rational numbers are in the form of p/q form where p,q are intezers.so,\xa0√5 = p/q p =\xa0√5qwe know that \'p\' is a rational number. so\xa0√5 q must be rational since it equals to pbut it doesnt occurs with\xa0√5 since its not an intezertherefore, p =/=\xa0√5qthis contradicts the fact that\xa0√5 is an irrational numberhence our assumption is wrong and\xa0√5 is an irrational number.hope it helped u ☺️ Firstly u need to assume that the given number is rational then u have to express it in the form of p/q. At last u will get a wrong equation which contradicts our assumption. |
|