Find each product or quotient. Simplify the answers. √-30 / √-10

Question

Accepted Answer

Hello, everyone. We're gonna divide the square root of negative 105 over the square root of negative 21. I want to rewrite this as a fraction. So I have the square root of 105 sorry, negative 105 over the square root of negative 21 being that they're both negative. I know that I can factor out the square root of negative one, which is I, so I'm gonna do that first. So I now have I out front of the square root of 105 and I out front of the square root of 21 next, I want to be able to reduce these. So I'm gonna think about this as what would multiply to 105. And since I want to be able to cancel out 21 I'm really asking myself what times 21 equals 105. And the answer to that is 55 times 21 is 105. So if I write that as two separate radicals, so I can start simplifying I have I times the square of 21 times the square of five over I times the square to 21. Now that everything is simplified, I'm going to reduce so I can reduce tw square to 21 with a square to 21. I was I, and it looks like I am left with the square root of five. So that is my quotient. That's the solution. And that is answer choice. D have a nice day.

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Find each product or quotient. Simplify the answers. √-30 / √-10

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