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In (a+bi) + (c+di), you add the real parts using the laws for real numbers and do the same for the imanginary parts.

(a+c)+(b+d)i

Q: What is the sum of complex numbers?

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The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.

There are no real numbers that satisfy the requirements. The complex solutions are: 1 +/- sqrt(21)

The two numbers are the complex conjugate pair, 3.5 - 7.6i and 3.5 + 7.6i where i is the imaginary root of -1

The two numbers are the complex conjugate pair27.5 - 79.0174iand27.5 + 79.0174iwhere i is the imaginary square root of -1.

The question has no answer in real numbers. The solution, in complex numbers, are 2+3i and 2-3i where i is the imaginary square root of -1.

Related questions

A "complex number" is a number of the form a+bi, where a and b are both real numbers and i is the principal square root of -1. Since b can be equal to 0, you see that the real numbers are a subset of the complex numbers. Similarly, since a can be zero, the imaginary numbers are a subset of the complex numbers. So let's take two complex numbers: a+bi and c+di (where a, b, c, and d are real). We add them together and we get: (a+c) + (b+d)i The sum of two real numbers is always real, so a+c is a real number and b+d is a real number, so the sum of two complex numbers is a complex number. What you may really be wondering is whether the sum of two non-real complex numbers can ever be a real number. The answer is yes: (3+2i) + (5-2i) = 8. In fact, the complex numbers form an algebraic field. The sum, difference, product, and quotient of any two complex numbers (except division by 0) is a complex number (keeping in mind the special case that both real and imaginary numbers are a subset of the complex numbers).

The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.

Lots of numbers do. To begin, all real numbers do. Multiples of sqrt(-1), aka. imaginary numbers, do. The Complex Numbers are all numbers which are the sum of a real number and an imaginary number.

There are no real numbers that satisfy the requirements. The complex solutions are: 1 +/- sqrt(21)

The two numbers are the complex conjugate pair, 3.5 - 7.6i and 3.5 + 7.6i where i is the imaginary root of -1

The two numbers are the complex conjugate pair27.5 - 79.0174iand27.5 + 79.0174iwhere i is the imaginary square root of -1.

The question has no answer in real numbers. The solution, in complex numbers, are 2+3i and 2-3i where i is the imaginary square root of -1.

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Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.

A triangle, with one of the complex numbers represented by a line from the origin to the number, and then move from that point up and over the amount of the next complex number. Then draw a line segment from the origin to the final point.

To add the numbers together is the sum!!!! to add the numbers together is the sum!!!!

0.15 - 2.44489i and its complex conjugate, 0.15 + 2.44489i where i is the imaginary square root of -1.