[" Orthocentre of the triangle with vertices "],[(sqrt(3),sqrt(10)),(sqrt(7),sqrt(6)),(sqrt(5,sqrt(8)))]

(sqrt(7)-sqrt(5))^3 - (sqrt(7)+sqrt(5))^3

The orthocentre of a triangle whose vertices are (0,0),(sqrt3,0) and (0,sqrt6) is

(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3))-(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3))

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (a) (sqrt(5),0) (b) (0,0) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

If the vertices of a triangle are (sqrt(5),0) ,sqrt(3),sqrt(2)), and (2,1), then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0)(sqrt(5)+sqrt(3)+2,sqrt(2)+1)( d) none of these

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0) (c) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

The value of the determinant, " "|{:(sqrt(13)+sqrt(3), 2sqrt(5), sqrt(5)), (sqrt(15)+sqrt(26), 5, sqrt(10)), (3+sqrt(65), sqrt(15), 5):}| is :a) 5(sqrt(6)-5) b) 5sqrt(3)(sqrt(6)-5) c) sqrt(5)(sqrt(6)-sqrt(3)) d) sqrt(2)(sqrt(7)-sqrt(5))

Which among the following is greatest sqrt(7)+sqrt(3),sqrt(5)+sqrt(5),sqrt(6)+2?

(sqrt(8)+sqrt(3))/(sqrt(8)-sqrt(3))+ (sqrt(8)-sqrt(3))/(sqrt(8)+sqrt(3))

(2)/(sqrt(5)+sqrt(3))-(3)/(sqrt(6)+sqrt(3))+(1)/(sqrt(6)+sqrt(5))=?