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What is the conjugate of 
-(5)/(8)+(1)/(8)i ?

(1)/(8)-(5)/(8)i

(5)/(8)+(1)/(8)i

(5)/(8)-(1)/(8)i

-(5)/(8)-(1)/(8)i

What is the conjugate of 58+18i -\frac{5}{8}+\frac{1}{8} i ?\newline1858i \frac{1}{8}-\frac{5}{8} i \newline58+18i \frac{5}{8}+\frac{1}{8} i \newline5818i \frac{5}{8}-\frac{1}{8} i \newline5818i -\frac{5}{8}-\frac{1}{8} i

Full solution

Q. What is the conjugate of 58+18i -\frac{5}{8}+\frac{1}{8} i ?\newline1858i \frac{1}{8}-\frac{5}{8} i \newline58+18i \frac{5}{8}+\frac{1}{8} i \newline5818i \frac{5}{8}-\frac{1}{8} i \newline5818i -\frac{5}{8}-\frac{1}{8} i
  1. Understand Complex Conjugate: Understand the concept of a complex conjugate. The conjugate of a complex number a+bia + bi is abia - bi, where aa and bb are real numbers and ii is the imaginary unit.
  2. Identify Real and Imaginary Parts: Identify the real and imaginary parts of the given complex number.\newlineThe given complex number is 58+18i-\frac{5}{8} + \frac{1}{8}i. Here, the real part is 58-\frac{5}{8} and the imaginary part is 18\frac{1}{8}.
  3. Apply Conjugate Rule: Apply the conjugate rule to the given complex number.\newlineTo find the conjugate, we change the sign of the imaginary part. Therefore, the conjugate of 58+18i-\frac{5}{8} + \frac{1}{8}i is 5818i-\frac{5}{8} - \frac{1}{8}i.

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