Saved Bookmarks
| 1. |
Prove root5 - root3 as irrational |
| Answer» Let us assume that root5-root3 is not an irrational numberSo root5-root3 is rational number Therefore root5-root3=a/bb=a/root5-root3=a/root5-root3*root5+root3/root5+root3=a(root5+root 3) /2b=a(root5+root 3)/2It is impossible since rational number b is equal to irrational number a(root5+root 3)/2So our assumption is wrong Therefore root 5-root 3is irrational number | |