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Better get a textbook that explains this in more detail. You can also get a brief summary at Wikipedia, or other online sites.
In any case, here is a brief summary.
For addition and substraction, you add (or subtract) the real and imaginary parts separately. For example, (4 + 3i) + (7 - 2i) = 11 + 1.
For multiplication, multiply each part of one number with each part of the other number - and remember that i2 = -1. For example, (4 + 3i) x (7 - 2i) = 28 - 8i + 21i - 6i2 = 28 + 13i - 6(-1) = 34 + 13i.
Division is a bit more complicated. For example, to divide by (3 + 4i) you have to multiply numerator and denominator by the complex conjugate of this number, that is, change the sign of the imaginary part; in this case, (3 - 4i).
Multiplication and division are actually quite a lot easier if you convert the complex number to polar coordinates, that is, a distance and an angle. Here is a quick example: (4 angle 30 degrees) x (5 angle 20 degrees) = (4 x 5) angle (30 + 20 degrees) = 20 angle 50 degrees (a length of 20, at an angle of 50 degrees). Most scientific calculators have special functions to convert from rectangular to polar coordinates and back.
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What is complex math?
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
Why do you use complex numbers?
Complex numbers can help visualize physical effects like the electromagnetic fields around wires carrying current. Refer to the link below.
Are complex numbers under addition and multiplication a field?
The complex numbers are a field.
Which of these are complex numbers 5 3i 1 2i?
All of them. Real numbers are a subset of complex numbers.
What mathematician introduced complex numbers?
Gerolamo Cardano is an Italian mathematician who introduced complex numbers. Complex numbers are those that can be expressed in the form of a+bi where a and b represent real numbers.
Where you use complex number?
Complex numbers are the square roots of negative numbers. i.e. root -1 = i
Does fixing computers use complex numbers?
yes it does
What jobs use complex numbers?
electrical engineers and quantum mechanics use them.
Is there any use of complex numbers in geometry?
Yes, many
What jobs use complex numbers and how do they use them?
I suggest you read the Wikipedia article con complex numbers, specifically the section "Applications". One example is electrical engineering: in the case of AC, it helps to express all voltages, currents and impedances (equivalent of resistances) as complex numbers.
What is complex math?
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
How to solve synthetic division with complex numbers?
I'm not sure about how to use complex numbers to do this, but I've posted a link to a pretty neat website about Synthetic Division.
How do quantum mechanics use complex numbers?
using contraction and expansion
When should you use foil for complex numbers?
when you multiply it with another polynomial
What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Could anyone list numbers not in the set of complex numbers?
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
Why do you use complex numbers?
Complex numbers can help visualize physical effects like the electromagnetic fields around wires carrying current. Refer to the link below.
