`((sqrt2+2)/(2sqrt(2)))((sqrt2-2)/(2sqrt(2)))`

log((sqrt2-1)/(sqrt2+1))

Simplify: (1)/(sqrt(3+2sqrt(2)))+(1)/(sqrt(3+2sqrt(2)))

[(2-sqrt(3))/(2sqrt(2))]/[(2+sqrt(3))/(2sqrt(2))]

(3+sqrt(2))(2-sqrt(3))(3-sqrt(2))(2+sqrt(3))

(4+sqrt(2))/(2+sqrt(2))times(2-sqrt(2))/(2-sqrt(2))

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

If (0,1),(1,1)a n d(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))]

If (0,1),(1,1)a n d(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))]

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))