z^4=3+sqrt(3i)

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Solution for z^4=3+sqrt(3i) equation:


Simplifying
z4 = 3 + sqrt(3i)

Remove parenthesis around (3i)
z4 = 3 + qrst * 3i

Reorder the terms for easier multiplication:
z4 = 3 + 3qrst * i

Multiply qrst * i
z4 = 3 + 3iqrst

Solving
z4 = 3 + 3iqrst

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying
z4 = 3 + 3iqrst

Reorder the terms:
-3 + -3iqrst + z4 = 3 + 3iqrst + -3 + -3iqrst

Reorder the terms:
-3 + -3iqrst + z4 = 3 + -3 + 3iqrst + -3iqrst

Combine like terms: 3 + -3 = 0
-3 + -3iqrst + z4 = 0 + 3iqrst + -3iqrst
-3 + -3iqrst + z4 = 3iqrst + -3iqrst

Combine like terms: 3iqrst + -3iqrst = 0
-3 + -3iqrst + z4 = 0

The solution to this equation could not be determined.

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