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

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

If S=[((sqrt(3)-1)/(2sqrt(2)),(sqrt(3)+1)/(2sqrt(2))),(-((sqrt(3)+1)/(2sqrt(2))),(sqrt(3)-1)/(2sqrt(2)))], A=[(1,0),(-1,1)] and P=S ("adj.A") S^(T) , then find matrix S^(T) P^(10) S .

Angles of a triangle are in 4:1:1 ration. The ratio between its greatest side and perimeter is 3/(2+sqrt(3)) (b) (sqrt(3))/(2+sqrt(3)) (sqrt(3))/(2-sqrt(3)) (d) 1/(2+sqrt(3))

If sqrt(3) = 1.73 find the value of : (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)-(sqrt(3)+1)/(sqrt(3)-1) .

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

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

(1)/(sqrt(3))times(sqrt(2))/(sqrt(3))=

Let A={:[(sqrt(3),-1),(2+sqrt(3),1-sqrt(3))]:},B={:[(-sqrt(3),2),(2-sqrt(3),1+sqrt(3))]:} Find A+B.

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(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))