`( sqrt(2) + sqrt(2 )) / sqrt(2)` = ?

The image of the centre of the circle x^2 + y^2 = 2a^2 with respect to the line x + y = 1 is : (A) (sqrt(2), sqrt(2) (B) (1/sqrt(2) , sqrt(2) ) (C) (sqrt(2), 1/sqrt(2)) (D) none of these

Solve : (sqrt(2+x) + sqrt(2 - x))/(sqrt(2 +x) - sqrt(2-x)) =

sqrt(3)/sqrt(2) + (sqrt(5)+2)/sqrt(2)

(1)/(sqrt(2))times(sqrt(2))/(sqrt(2))=

Evaluate : ( sqrt(2) - 1/sqrt(2) ) times ( sqrt(2) - 1/sqrt(2) )

If (0,1),(1,1) and (1,0) be the middle points of the sides of a triangle,its incentre is (2+sqrt(2),2+sqrt(2))( b) [2+sqrt(2),-(2+sqrt(2))](2-sqrt(2),2-sqrt(2)) (d) [2-sqrt(2),(2+sqrt(2))]

Examine,whether the following numbers are rational or irrational: (2-sqrt(2))(2+sqrt(2)) (ii) (sqrt(2)+sqrt(3))^(2)

Solve {sqrt(3+2 sqrt2)}^x + {sqrt(3-2 sqrt2)}^x =6 .