Question

prove that √m+√n is irrational if √mn is irrational​

Answer 1

Step-by-step explanation:

Answer. √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 ]