Ok kids, so today we learned, or were supposed to learn, about simplifying these annoying mathy thingys called radicals. You've probably heard about them before... if you were paying attention. Cool cool. Here's some fun stuff you might want to remember. Yay. √A X B = √A X √B we call the blue font "baby radicals" or "cube root baby radicals" if they are 3√ (how creative) A√B is called a mixed root (3√7 , 9√3 , etc). It is a non radical with a radical. √A is called an entire root (√67 , √23 , √36 , etc). It's a radical by itself. Positive or negative. How very complicated. So. You're given a radical number. How the heckity h*ck are you supposed to simplify that thing now?? First, factor it. Yep, we're doing factoring again. Which, I mean, that's great. If you love factoring. When you find a perfect square in your lil tree thing you got going on, stop. For example, you don't need to take 4 to 2 and 2, because 4 is a perfect square. At the end of your factoring, you should have mostly perfect squares left. If you don't, keep going. If you have a couple non perfect square numbers left, it's all good. We don't discriminate here. Factoring Tip: the bigger the perfect square you can find, the less work it is for you. Ok, so now you should have a couple perfect squares and one or so imperfect. Good job. Write them out, perfect squares first, biggest to smallest, and then the imperfect. Why? Because Ms. B likes doing that way. Also, you know. Organization. And laziness - it'll be less work for you later. Next, simplify the perfect squares. Easy - that's why they're perfect. Next, multiply the square roots (that you just found) together. Put it aside. Look at the imperfect squares, and multiply those together. Ok, you should only have two numbers now: the square root, and a radical. Cool cool, you're on track. Put them together. Like that's it. You thought this was gonna be hard?? Yeah I mean sorta was because, hey, math. Work. No thanks. But you did it! 1. Factor 2. Find perfect squares 3. Simplify 4. Multiply 5. Simplify Bonus Question: What if you go past a perfect square when you are factoring?? No problem. As we (should) know, perfect square = y X y. So, if you have two of the same factors, you know they can be multiplied to equal a perfect square. Basically, you just skipped a step. No big deal. In fact, good job. Go get yourself a prize. Oh yeah, we also learned about cube roots. But guess what? It's the same thing. Literally the exact same thing. Except all the square roots are cube roots. Perfect squares are perfect cubes. I could copy and paste that whole thing and replace a couple words. Or you could just re read it yourself. Have fun with that. If this was totally confusioning and made no sense, yeah. That's pretty accurate. If you have your math book open next to you while reading through these, it'll probably make more sense... no guarantees. And, watch the video below to understand because this random dude actually explains it in like three minutes... less if you have no patience and speed if up like me oops. And enjoy this video please, all my ads on youtube are for math tutors now. Help. (also this guy is low key creepy. They probably could've chosen a better picture.) Peace out little kiddys.
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Find your green dot!AuthorsWe are members of Esquimalt High School's Gifted Math 10 class. Most of us like Hi-Chews. Archives
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