Question

prove that root 2+ root 3 is an irrational number.

Answer 1

Let 2+/3 be rational
2+/3=a/b
/3=a/b-2
Hence /3 is also rational
But we knw that /3 is irrational
Hence our supposition is wrng
2+/3 is irrational

Answer 2

Root2+root3
1414/1000+1732/1000
=3146/1000