Question

prove that root 3 + root5 is irrational

Answer 1

Hey there here is your answer.

Let us assume 3+√5 is rational number. Then exists positive co-prime integers a and b such that.

3+√5=a/b

3+a/b=√5
now,
3b+a/b=√5

Therefore, √5 is irrational number

Hence, Our assumption was wrong.


HOPE THAT CLEARS CHEERS!! :-)

Answer 2

Please refer to the below pic for the solution