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

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

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

Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)), i s1/(512sqrt(2))?

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

(sqrt(2)+sqrt(3))times(sqrt(3)+sqrt(8))

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))]

Sum the series to infinity : sqrt(2)- (1)/(sqrt(2))+(1)/(2(sqrt(2)))-(1)/(4sqrt(2))+ ....

Simplify the following expressions: (i) (4+sqrt(7))(3+sqrt(2)) (ii) (3+sqrt(3))(5-sqrt(2)) (iii) (sqrt(5)-2)(sqrt(3)-sqrt(5)) (iv) (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))