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Question

What is the value of $(6 + 3i) + (2 + 5i)$?

The correct answer is
$8 + 8i$

To find the value of the expression \((6 + 3i) + (2 + 5i)\), we need to add the real parts and the imaginary parts separately.

  1. \(6 + 2 = 8\) (Adding the real parts)
  2. \(3i + 5i = 8i\) (Adding the imaginary parts)

Thus, the sum of the complex numbers is:

\((6 + 3i) + (2 + 5i) = 8 + 8i\)

Therefore, the correct answer is \(8 + 8i\).

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Important Questions from Complex Numbers

  1. Which one of the following is a square root of \(-\sqrt{-1} \)?

  2. What are the roots of equation-I ?

  3. Which one of the following is a root of equation-II?

  4. What is the number of common roots of equation-I and equation-II?

  5. If \(z=\frac{1+i √{3}}{1-i √{3}}\) where i = √-1 then what is the argument of z ?

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