The product of the four values of `((1)/(2)+i(sqrt(3))/(2))^(3/4)` is

Find the value of (4/(log_(2)(2sqrt3))+2/(log_(3) (2sqrt3)))^(2) .

The value of (i+sqrt3)^(100)+(i-sqrt3)^(100)+2^(100) is

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

Find the principal value of each of the following: (i) sin^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(cos (pi/3)) (iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

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) .

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

Find the sum and product of the complex numbers -sqrt(3)+sqrt(-2) and 2sqrt(3)-i

The value of the integral I=int_((1)/(sqrt3))^(sqrt3)(dx)/(1+x^(2)+x^(3)+x^(5)) is equal to

What is the value of (2+8i)(1-4i)-(3-2i)(6+4i)?

If sum_(i=1)^n(x_i+1)^2=9n and sum_(i=1)^n(x_i-1)^2=5n , then standard deviation of these 'n' observations (x_1) is: (1) 2sqrt(3) (2) sqrt(3) (3) sqrt(5) (4) 3sqrt(2)