Evaluate each expression in Exercises 1–12, or indicate that the ...

Question

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √−25

Accepted Answer

Welcome back. I'm so glad you're here. We've got this radical expression the square root of -289. And we're supposed to figure out if that's real or not and if it's real to evaluate, well we're not going to get very far with this one because there is a negative number inside of that square root radical and we just can't take the square root of a negative number. Why is that? Well if you were trying to get 289, you can take 17 times 17 and that gets you positive 289. And if you took negative 17 times negative 17, well that still gets you a positive 289. There is no number that you can multiply by itself and get a negative number. So therefore we go with answer choice D. The root is not a real number. While done. We'll catch you on the next one.

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