Question

prove thatroot 3+root 2 is irrational

Answer 1

Let if possible suppose 3 + root2 is rational
=> 3 + root2 is rational
=>( 3 + root2 ) - 3 is rational
( Since Rational - Rational = Rational )
=> 3 + root2 - 3 is rational
=> root2 is rational
But this contradicts the fact that root2 is irrational
Thus Our assumption was wrong
Hence 3 + root2 is irrational...

Hope this Help.....