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Liberty University
Complexand Imaginary Numbers - Example 4


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Video Transcript

imaginary numbers square root of negative, 20 times square root of negative 12. Now, I know this is gonna be an imaginary number, but we can go ahead and multiple bomb and then find the factors of our product. So let's go ahead and multiply. So I know Let's break this down a little bit so we're no, we're gonna pull out and square in a negative one, which is gonna be I so we can go ahead and say Times Square to 20 times I Times Square in negative 12. And that's how you actually want to do that. One is you want to go ahead and pull the eye out. So we're gonna have is we're gonna have I squared. Tom's 20 times 12 is 240. So we're gonna factor out 240. So the factors of 240 well, we can have square root of 16 times square root of 15 16 times 15 gives me 240. We know that 16 is a perfect square and it's four 15. I could factor out 15 mawr, but what's coming up happening? It's 15 doesn't have any factors that are perfect squares. So as a result, what I end up with is still the square root of 15. So I have four square to 15. Let's go back to her. I squared. We know that I squared is actually the same as negative one. So what we have is negative one times four times the square root of 15. Which means I have negative four square root of 15.