Saved Bookmarks
| 1. |
Prove root m is irrational |
|
Answer» <P>Prove root m is irrational √M + √N is an irrational number. Now, √MN which is an irrational number as M and N are primes is equal to a Rational number where ( p ≠ 0, q ≠ 0, M ≠ 0, N ≠ 0 ) is a CONTRADICTION. ... Hence, √M + √N is an irrational number [ proof by contradiction ]. Prove root n is irrational If n is a perfect square then √n is a an INTEGER and THEREFORE rational, so it suffices to prove that if n is not a perfect square, then √n is irrational. |
|