Question

State, whether the following numbers is rational or not : ( 2 + √2 )²

Answer 1

( 2 + √2 )²  = 2² + 2 ( 2 ) ( √2 ) + ( √2 )²
                   = 4 + 4√2 + 2 
                   = 6 + 4√2 
Irrational number.