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What is the conjugate of 8+3i ? 3+8i -8+3i -8-3i 8-3i

What is the conjugate of 8+3i 8+3 i ?\newline3+8i 3+8 i \newline−8+3i -8+3 i \newline−8−3i -8-3 i \newline8−3i 8-3 i

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Full solution

Q. What is the conjugate of 8+3i 8+3 i ?\newline3+8i 3+8 i \newline−8+3i -8+3 i \newline−8−3i -8-3 i \newline8−3i 8-3 i
  1. Identify Parts: Identify the real and imaginary parts of the complex number.\newlineIn a complex number of the form a+bia + bi, aa is the real part and bb is the coefficient of the imaginary part ii.
  2. Complex Conjugate Definition: Understand what a complex conjugate is.\newlineThe complex conjugate of a complex number a+bia + bi is a−bia - bi. It is formed by changing the sign of the imaginary part.
  3. Apply Definition: Apply the definition of the complex conjugate to the given number 8+3i8 + 3i. The real part is 88 and the imaginary part is 33. Therefore, the complex conjugate is 8−3i8 - 3i.
  4. Check Correctness: Check the given options to find the correct complex conjugate. The correct complex conjugate of 8+3i8 + 3i is 8−3i8 - 3i.

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