Complex Numbers: Working with i and Quotients, Study notes of Algebra

The concept of working with complex numbers, specifically i and quotients. It explains how to remember i-squared equals -1 and apply the difference of squares pattern when dividing. This material is essential for students studying advanced mathematics, particularly in fields such as engineering and physics.

Typology: Study notes

Pre 2010

Uploaded on 08/19/2009

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The square root of a negative number still isn’t real, but now we can label it with an i”
and do some work with it. When you find a quotient, it’s like the binomial denominators
in previous sections. Instead of hauling around a radical, however, you take along i”
and remember that i-squared is - 1.
When you are dividing, think of those radicals from previous sections. They are a lot
like these. You are using that difference of squares pattern again.

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The square root of a negative number still isn’t real, but now we can label it with an “i” and do some work with it. When you find a quotient, it’s like the binomial denominators in previous sections. Instead of hauling around a radical, however, you take along “i” and remember that i-squared is - 1.

When you are dividing, think of those radicals from previous sections. They are a lot like these. You are using that difference of squares pattern again.