Question

prove that root 3 plus root 5 is irrational

Answer 1

3 + root 5 = 3 + 2.236.....
= 5.236... which is irrational
Hope it helped ...

Answer 2

hey friend hew is your answer

suppose √8 = a/b with integers a, b 
and gcd(a,b) = 1 (meaning the ratio is simplified) 

then 8 = a²/b² 
and 8b² = a² 

this implies 8 divides a² which also means 8 divides a. 

so there exists a p within the integers such that: 
a = 8p 
and thus, 
√8 = 8p/b 
which implies 
8 = 64p²/b² 
which is: 
1/8 = p²/b² 
proved

hope it will help u