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

Solution:

Given: (-3 + 3i) + (-2 + 3i)

The combination of real numbers and imaginary numbers is called complex numbers. It is in the form a + bi where a is a real number and b is an imaginary part.

Now addition of two complex numbers (-3 + 3i) and (-2 + 3i) is done as this:

=- 3 + 3i - 2 + 3i

Grouping the real parts together and the imaginary parts together, we get

=- 3 - 2 + 3i + 3i

= - 5 + 6i

We can understand by the given example below:

Example:

What is the value of (5 - 8i) + ( - 4 - 9i)

Given: (5 - 8i) + (-4 - 9i)

We have to convert it in the standard form of a + bi

⇒ 5 - 8i - 4 - 9i

⇒ 1 - 17i

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What is the value of (-3 + 3i) + (-2 + 3i)?

Summary:

The value of (-3 + 3i) + (-2 + 3i) is -5 + 6i.