HAI
I HAS A NUMBER
GIMMEH NUMBER
NUMBER IS NOW A NUMBAR
I HAS A IMAGINARY ITZ FAIL

NUMBER SMALLR THAN 0.0?, O RLY?
  YA RLY
      NUMBER R PRODUKT OF NUMBER AN -1
      IMAGINARY R WIN
OIC

I HAS A X_N ITZ 10
I HAS A LIMIT ITZ 100
I HAS A COUNTER ITZ 0
IM IN YR LOOP UPPIN YR COUNTER WILE COUNTER SMALLR THAN LIMIT?
  I HAS A TERM ITZ QUOSHUNT OF NUMBER AN X_N
  TERM R SUM OF X_N AN TERM
  TERM R QUOSHUNT OF TERM AN 2
  X_N R TERM
  IM OUTTA YR LOOP

BOTH SAEM IMAGINARY AN WIN, O RLY?
  YA RLY
    BOTH SAEM 1 AN X_N, O RLY?
      YA RLY
        X_N R "i"
      NO WAI
        X_N R SMOOSH "(" AN X_N AN "i)" MKAY
  OIC
OIC

VISIBLE SMOOSH "sqrt(" AN NUMBER AN ") ~ ±" AN X_N
KTHXBYE