Perform the indicated operation. Write your answer in proper \( a + bi \) form.
\[ (4 + \sqrt{-6}) + (8 - \sqrt{-294}) - (21 + \sqrt{-216}) \]
Answer (2)
( 4 + − 6 ) + ( 8 − − 294 ) − ( 21 + − 216 ) = 4 + 6 i + 8 − 7 6 i − 21 − 6 6 i = − 9 − 12 6 i
The final answer for the expression ( 4 + − 6 ) + ( 8 − − 294 ) − ( 21 + − 216 ) simplifies to − 9 − 12 i 6 . This was achieved by combining the real parts and calculating the imaginary components. Each square root was expressed in terms of the imaginary unit i for proper representation.
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