Question

prove that 3+2√5 is irrational​

Answer 1

3+2^5

let us assume that 3 +2^5 is rational

therefore 3+2^5=a/b

a and b are coprimes.

2^5 = a/b - 3

2^5= a-3b/b

^5= a-3b/2b

^5 is irrational and a-3b/2b is rational therefore we conclude that our assumptions of 3+2^5 is rational therefore

3+2^5 is irrational

hope this helps you !!!!!