Question

Is a and b are prime to each other then a+b is prime to ab proof?

Answer 1

a^n an is also prime to b^n because of the theorem (If aa is prime to b^n then a^n is also prime to b^n), Also anan and bnbn is a divisor of (a+b)(a+b) therefore by theorem (If aa is prime to b, and each of these numbers is a divisors of N, then ab is a divisor of N) a^b^n is a divisor of (a+b)(a+b).d