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![]() To ease the burden of intricate calculations, simplify square root calculators have emerged as powerful tools that empower us to conquer the complexities of square roots with remarkable ease. Among these concepts, square roots stand out as both fundamental and challenging, requiring a deep understanding of mathematical principles. So these are all the same thing.The world of mathematics is vast and captivating, filled with intriguing concepts that pique our curiosity. In fact, even this one, youĬould write if you want to visualize it slightly differently, you could view it as one twentieth times the square root of two. Times the square root of two is just going to be two. Square root of two over 10 times the square root of two times the square root of two. Just multiplying by one, we're expressing one as square root of two over square root of two, and then what that does is we rewrite this as the Now some people don't like having a radical in the denominatorĪnd if you wanted to get rid of that, you could multiply both the numerator and the denominatorīy the square root of two. So this is going to be equal to one over 10 square roots of two. Square root of 200, we can rewrite as 10 square roots of two. Times the square root of two, which is 10 times the square root of two. Square root of five times five, well that's just going to be five. Times two is just going to be, this is just two. Two times the square root times the square root of five times five, times the square root of two. And they really, they boilĭown to the same method. Little bit more monotonous, but hopefully you see that it works, (laughing) I guess is one ![]() Well this is going toīe the same thing as the square root of two times two. And I wrote it in this order so you can see the perfect squares here. Myself more space under the radical, square root of two times two times five times five times two. So I can rewrite the square root of 200 as being equal to the square root of two times two. Squares you would say, Alright, are there any factors where I have at least two of them? Well I have two times two here. Two, not divisible by three, four, but it is divisible by five. ![]() You could say that that's not divisible by ![]() That doesn't jump out at you as a perfect square, And if 100 didn't jump outĪt you as a perfect square, you could say, Well that's The square root of 200, say Well it's divisible by two. You could say, ah it's the same color that I've been doing before. You could say, alright, let me do this alternate method in a different color. Square that is a factor of 200, you could just start with small numbers. But if it didn't jump outĪt you immediately that you have this large perfect So it's the square root of two times 10 or we could write this asġ0 square roots of two. And so the square root ofĢ00 is the square root of two times 100, which is the same thing as the square root of two times You could realize that, OK, look 100 is a perfect square. And there's a couple of ways to try to simplify the square root of 200. The square root of one is just one over the square root of 200. One way is to say, Well this is going to be the same thing as the square root of one over the square root of 200. Alright so there's a couple of ways that you could approach this. And so I encourage you to pause the video and see if you can do that. When I say "simplify it" I really mean, if there's any perfect squares here that I can factor out to take it Here the square root, the principal root, of one two-hundredth.
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