2. Prove that 3 +2v5 is irrational.

1.	2. Prove that 3 +2v5 is irrational.
Answer» To prove: 3 + 2 root 5 is irrational Let 3 + 2 root 5 is rational therefore 3 + 2 root 5=a/b(where a and b are co prime integer ) root 5=a-3/2bbecause a-3/2b is rational therefore root 5 will also be rational But we know that,root 5 is irrationalthat is our assumption is wrongthat is 3+2 root 5 is irrational Like if you find it useful

Answer»

To prove: 3 + 2 root 5 is irrational

Let 3 + 2 root 5 is rational

therefore 3 + 2 root 5=a/b(where a and b are co prime integer )

root 5=a-3/2bbecause a-3/2b is rational

therefore root 5 will also be rational

But we know that,root 5 is irrationalthat is our assumption is wrongthat is 3+2 root 5 is irrational

Like if you find it useful

Discussion