Adding and Subtracting Radical Expressions - Problem 1

This problem is not too challenging for a lot of you guys because you can right away tell what the answer should probably be. If I want to simplify this, it’s a lot like combining like terms. What I’m going to do is look at the numbers outside the radicands because all of my radicands are alike. All of my radicands are 3. So my answer is just going to come from doing 8 minus 5 and then adding 10. 8 take away 5 is 3 plus 10 more is 13.

My final answer is just 13 root 3. That’s it just make sure when you do this, you’re not messing with the radicands, that’s going to stay as 3 in the answer, the only thing that’s changing is this thing that’s outside the radicand, looks kind of coefficient, but it’s really just whatever is being multiplied by that square root expression.