table of contents complex numbers - definition the number i is given by: we can also write the...
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Complex Numbers - Definition
• The number i is given by:
1i
• We can also write the following:
2 1i • Numbers in the form of bi, where b is a real number,
are called Pure Imaginary Numbers.
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• Another definition regarding imaginary numbers is as follows.
• Example 1:
12Simplify:
12 12i 4 3i 2 3i
a i a where a is a real number
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• Example 2:
8 14 Determine the product:
8 14 8 14i i 2 8 14i
( 1) 2 2 2 2 7
4 7
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• A complex number is given by…
a bi
• Example 3:
3 5i 2i 7
where a and b are real numbers.
All of the following are complex numbers:
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• Example 4:
7 9
Put the complex number in standard a+bi form.
7 9 7 9i
7 3i
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• When a radical is involved, the i usually precedes the radical, to make it clear the i is not under the radical.
5 2 3i
• Example 5:
would be written as …
5 2 3i
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