Maths-
General
Easy

Question

What is the sum of the complex numbers 6 + 5i and 8 + 3i2?

  1. 11 + 5i
  2. 14 − 2i
  3. 14 + 8i3
  4. 17 + 5i

The correct answer is: 11 + 5i


    Hint:
    Concept in this question is sum of complex numbers.
    Complex number consist of real part and imaginary part. I. e A + bi where A is real part and bi is imaginary part
    straight i equals square root of negative 1 end root text  and  end text straight i squared equals negative 1
    In addition of complex number do addition of real part and imaginary part separately.
    Step by step explanation:
    Given:
    Two complex numbers: 6 + 5i and 8 + 3i2
    Step 1:
    Put, i2 = - 1
    so, 8 + 3i2 will become
    ⇒ 8 + 3 (- 1)
    ⇒ 8 - 3
    ⇒ 5
    Step 2:
    Separate real and imaginary part.
    (6 + 5i) + (5)
    ⇒ (6 + 5) + 5i
    Step 3:
    Now do the simple addition.
    ⇒ 11 + 5i
    Hence, the answer is 11 + 5i.

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