For the system of equations given by `x^5+y^5=33` and `x+y=3`, the possible ordered pair(s) of `(x,y)` can be (A) `(3/2+sqrt17/2 i,3/2-sqrt17/2 i)` (B) `3/2+sqrt19/2 i,3/2-sqrt19/2 i)` (C) `3/2+sqrt19/2 i,3/2-sqrt19/2 i)` (D) `3/2-sqrt19/2 i,3/2+sqrt19/2 i)`

For the system of equations given by x^(5)+y^(5)=33 and x+y=3, the possible ordered pair(s) of (x,y) can be (A) ((3)/(2)+(sqrt(17))/(2)i,(3)/(2)-(sqrt(17))/(2)i)(B)(3)/(2)+(sqrt(19))/(2)i,(3)/(2)-(sqrt(19))/(2)i)(C)(3)/(2)+(sqrt(19))/(2)i,(3)/(2)-(sqrt(19))/(2)i)(D)(3)/(2)-(sqrt(19))/(2)i,(3)/(2)+(sqrt(19))/(2)i])

(sqrt5 + i sqrt3)(-2 + i)

(sqrt3/2+i/2)^5 - (sqrt3/2-i/2)^5=

Solve (i) x^(2) -(3sqrt2-2i)x-6sqrt2i=0

(-sqrt3 + sqrt(-2))(2sqrt3-i)

(-sqrt3 + sqrt(-2))(2sqrt3 - i)

(3)/(sqrt(19-2sqrt(88)))-(8)/(sqrt(14+2sqrt(33)))=

Evaluate: (iv) ((3+sqrt5i)(3-sqrt5i))/((sqrt3+sqrt2i)-(sqrt3-sqrt2i))

Write the real and imaginary parts of the following (i) sqrt(37)+sqrt(-19) (ii) (sqrt(17))/(2)+(2)/(sqrt(70))i .