Evaluate :

`1/sqrt2 + (1/sqrt2 )^2 + ( -1/sqrt2 ) + ( -1/sqrt2 )`

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

1/(1+ sqrt2 + sqrt3)

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

Evaluate (1/sqrt(2))/(1/sqrt(2)+sqrt(3))

If sqrt2 = 1.4142 , find the value of 2sqrt2 + sqrt2 + (1)/(2 + sqrt2) + (1)/(sqrt2 - 2)

If y=(sin^(-1)x cos^(-1)((x^2)/2))/(1+x^2) then find the value of y(1/2) + y(1/sqrt2) + y(-1/2) + y(-1/sqrt2)

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

1/(1-sqrt2-sqrt3)=