Unilorin Post-UTME Mathematics 2023 (Model questions) Question 10

Question 10

Fractions, Decimals and Approximation

What is the value of (2 + 3i)(2 − 3i), where i is the imaginary unit?

  1. A.13
  2. B.−13
  3. C.5
  4. D.−5
Show the answer and explanation

Answer: A (13)

Explanation

(2 + 3i)(2 − 3i) = 4 − 9i2 = 4 + 9 = 13, since i2 = −1.