Let's find let's factor out square root of negative 27 to get it in simplest form. Well, I can see that because it's a negative square root. We're talking about an imaginary number. So I'm gonna go ahead and factor out that negative one and then square root of 27. Well, we know that square were negative. One is going to be I. So we've already got that parts off. Let's do the square root of 27. And what we want to do is, if we can factor out, you need perfect square factors. Well, from my factors or 27 I know that we have nine and three and nine is a perfect square, and the square root of nine is three and three is prime, so we have square root of three times three times square root of three. So my solution for this one would be three times I times square root of three or three. I square root of three
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Let's find let's factor out square root of negative 27 to get it in simplest form. Well, I can see that because it's a negative square root. We're talking about an imaginary number. So I'm gonna go ahead and factor out that negative one and then square root of 27. Well, we know that square were negative. One is going to be I. So we've already got that parts off. Let's do the square root of 27. And what we want to do is, if we can factor out, you need perfect square factors. Well, from my factors or 27 I know that we have nine and three and nine is a perfect square, and the square root of nine is three and three is prime, so we have square root of three times three times square root of three. So my solution for this one would be three times I times square root of three or three. I square root of three
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