`(5+sqrt2)(4+sqrt5)`

((4 +sqrt5)/(4-sqrt5)) +((4-sqrt5)/(4+sqrt5)) =?

Find the harmonic mean of the roots of the equation (5+sqrt2)x^2-(4+sqrt5)x+(8+2sqrt5)=0

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

The value of int_5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))dx"i s" (1) 10sqrt(5) (2) 5sqrt(5) (3) 10sqrt(2) (4) 8sqrt(2)

The value of int_5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))dx is (1) 10sqrt(5) (2) 5sqrt(5) (3) 10sqrt(2) (4) 8sqrt(2)

Solve : (4-sqrt(5))/(4+sqrt(5))+ (2)/(5+sqrt(3))+(4+sqrt(5))/(4-sqrt(5))

If center of a regular hexagon is at the origin and one of the vertices on the Argand diagram is 1+2i , then its perimeter is 2sqrt(5) b. 6sqrt(2) c. 4sqrt(5) d. 6sqrt(5)

If sin^-1(1/3)+sin^-1 (2/3)= sin^-1 x then x is equal to (A) (4+sqrt(5)/9 (B) (4sqrt(2)+sqrt(5)/9 (C) (sqrt(3)+1)/6 (D) 1