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Find the sum of −8+7i-8 + 7i and its complex conjugate.\newlineWrite your answer in the form a+bia+bi.

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Full solution

Q. Find the sum of −8+7i-8 + 7i and its complex conjugate.\newlineWrite your answer in the form a+bia+bi.
  1. Identify complex conjugate: Identify the complex conjugate of −8+7i-8 + 7i.\newline Complex conjugate: −8−7i-8 - 7i
  2. Add original and conjugate: Add the original number and its complex conjugate.\newline −8+7i+(−8−7i)-8 + 7i + (-8 - 7i)
  3. Combine like terms: Combine like terms.\newline Real part: −8+(−8)=−16-8 + (-8) = -16\newline Imaginary part: 7i−7i=07i - 7i = 0
  4. Sum of real and imaginary parts: Sum of the real and imaginary parts.\newline −16+0i=−16-16 + 0i = -16

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