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

Find (1+x)^(4) + (1-x)^(4) . Hence evaluate (sqrt2+1)^(4) + (sqrt2-1)^(4)

A right triangle has perimeter of length 7 and hypotenuse of length 3. If theta is the larger non-right angle in the triangle, then the value of costhetae q u a ldot (sqrt(6)-sqrt(2))/4 (b) (4+sqrt(2))/6 (4-sqrt(2))/3 (d) (4-sqrt(2))/6

A right triangle has perimeter of length 7 and hypotenuse of length 3. If theta is the larger non-right angle in the triangle, then the value of costhetae q u a ldot (sqrt(6)-sqrt(2))/4 (b) (4+sqrt(2))/6 (4-sqrt(2))/3 (d) (4-sqrt(2))/6

Express each one of the following with rational denominator: (i) (sqrt(3)+\ 1)/(2sqrt(2)-\ sqrt(3)) (ii) (6-4sqrt(2))/(6+4sqrt(2))

The area bounded by the curves y""=""cos""x""a n d""y""="sin""x between the cordinates x""=""0""a n d""x""=(3pi)/2 is (1) 4sqrt(2)-""2 (2) 4sqrt(2)""1 (3) 4sqrt(2)+""1 (4) 4sqrt(2)""2

(4(sqrt(6) + sqrt(2)))/(sqrt(6) - sqrt(2)) - (2 + sqrt(3))/(2 - sqrt(3)) =

The value of the integral int_0^(3/2) [x^2]dx , where [] denotes the greatest integer function, is (A) 2+sqrt(2) (B) 2-sqrt(2) (C) 4+2sqrt(2) (D) 4-2sqrt(2)

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

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

Prove that cot 7 ""(1^(@))/(2) = sqrt2 + sqrt3 + sqrt4 + sqrt6 = (sqrt3 + sqrt2) (sqrt2 +1 ).