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Read on for the recap of the last two days
As we continue to explore the use of i to represent the square root of -1, and the consequences that such a definition involves, we revisited the topic of rationalizing today, and noted that since i is a square root, the rules of Simplest Radical Form require that we not leave i in the denominator of a fraction.
Our test on Unit 4 will be on Friday, January 18th. Please do not be absent on that day! If you know for some reason that you will be absent on that day, please arrange a time before the 18th to take the test! Otherwise, we will have to schedule a time for you to take the test during exam week.
More work with imaginary numbers today, in particular simplifying expressions that involve multiplying them or with higher powers. We saw in the videos we watched yesterday that powers of i don’t increase like other real numbers, but instead cycle through the numbers 1, i, -1, -i, and then back to 1 again.
We’ve started the second section of Unit 4, learning about complex and imaginary numbers. This is a new category of number, much like irrational or negative numbers, that mathematicians developed to handle equations that they previously had no ability to solve. We watched two videos to introduce this topic, but I recommend you watch the full story found here.