` "2+sqrt(2)+(1)/(sqrt(2)+2)+(1)/(sqrt(2)-2)=?`

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

tan^(-1)((sqrt(2)+1)/(sqrt(2)-1)) - tan^(-1)(sqrt(2)/2) =

The matrix A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:} is

Sum of the first n terms of an A.P. having positive terms is given by S_n=(1+2T_n)(1-T_n) (where T_n is the nth term of the series). The value of T_2^2 is (A) (sqrt(2)+1)/(2sqrt(2)) (B) (sqrt(2)-1)/(2sqrt(2)) (C) 1/(2sqrt(2)) (D) none of these

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

For the serioes 2+(sqrt(2)+(1)/(sqrt(2)))+((2sqrt(2)-1)+(1)/(2))+((3sqrt(2)-2)+(1)/(2sqrt(2)))+

(1+sqrt(2))/(3-2sqrt(2))=A sqrt(2)+B