three i times for I now both of these air imaginary numbers. Um, and actually what they would be just to kind of as a point of reference, This would be swearing negative nine. And this would be the square of negative 16. But they've already been. Those two square roots have already been simplified to three I times four I so we can work those out. Let's start off by multiplying them, Justus, if it were whole numbers with variables. So since there is the same variable, if I multiply them, I would get 12 I square. And typically, if this were X or any other variable, we would stop there. However, because this is I this is an imaginary number, so we can simplify this even more. Well, we know that I is square root of negative one, and I squared. It is the square root of negative one times square root of negative one or another way of writing. That is negative one. So that means that 12 in place of I squared, I can put negative one. So three I times four. I is actually negative. 12

## Comments

## Video Transcript

three i times for I now both of these air imaginary numbers. Um, and actually what they would be just to kind of as a point of reference, This would be swearing negative nine. And this would be the square of negative 16. But they've already been. Those two square roots have already been simplified to three I times four I so we can work those out. Let's start off by multiplying them, Justus, if it were whole numbers with variables. So since there is the same variable, if I multiply them, I would get 12 I square. And typically, if this were X or any other variable, we would stop there. However, because this is I this is an imaginary number, so we can simplify this even more. Well, we know that I is square root of negative one, and I squared. It is the square root of negative one times square root of negative one or another way of writing. That is negative one. So that means that 12 in place of I squared, I can put negative one. So three I times four. I is actually negative. 12

## Next Lectures