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Shtirlitz [24]
3 years ago
13

What is the sum of the complex numbers 6+2i and 3+5i, where i=sqrt(-1)

SAT
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

The sum of the complex numbers is 9+i\,7.

Explanation:

Let be u = 6 + i\,2 and v = 3 + i\,5, the sum of the complex number can be found by algebraic means. That is:

1) u = 6 + i\,2, v = 3 + i\,5 Given.

2) u+v = (6+i\,2)+(3+i\,5) Definition of addition.

3) u+v = (6+3) + (2\,i + 5\,i) Commutative and associative properties.

4) u+v = 9 + (2+5)\,i Definition of addition/Distributive property.

5) u + v = 9 + i\,7 Definition of addition/Commutative property/Result.

The sum of the complex numbers is 9+i\,7.

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