Prove that root 3 2 root 5 is irrational

Asked by admin @ in Math viewed by 458 People

Prove that root 3+2 root 5 is irrational

Answered by admin @


Let 3 + 2 root 5 is rational
therefore 3 + 2 root 5=a/b(where a and b are any integer )
root 5=a-3/2b
be cos a-3/2b is rational
therefore root 5 will also be rational
but we know that,
root 5 is irrational
that is our supposition is wrong
that is 3+2 root 5 is irrational

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