Simple complex

Algebra Level 4

\( \sqrt{ 7 - 30\sqrt{-2}} = ( \pm \frac{ a \pm b\sqrt{c} i }{d}) \)

a, b, c, d are positive integers

a and d are coprime.

c is not divisible by the square of any prime.

Find a + b + c + d .

Note - this problem is a part of the sets - 3's & 4's & QuEsTiOnS.

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