Saved Bookmarks
| 1. |
Prove that 4-3✓2 is an irrational number |
| Answer» Let us assume that 4-3root 2 is rational So we can write 4-3root 2 as a/b where a and b are co prime & b is not equal to 04-3 root 2=a/b-3root 2 =a/b -4 -3root 2=a-4b/broot 2 = a-4b/3broot 2=-a-4b /3bHere root 2 is an irrational number. But a-4b/-3b or -a-4b/3b is rational number. Therefore it is a contradiction to our assumption that 4-3 root 2 is a rational number. Thus 4-3 root 2 is irrational number Hope it helps | |