We look for fours of the same prime in the factorization and find two: a couple of fours of 2s. Convert to Radical Form
http://demonstrations.wolfram.com/TriangleRadicals/ Hypotenuse = 5. Is every square root aksing for the principal square root? If necessary, leave your responses in simplified radical form. Well, why don't you dive into the rich world of podcasts! 486 = 3 2 3 2 3 2. Express your answer in simplified radical form. Let's have a look at the example: we want to find the length of the hypotenuse of a right triangle if the length of one leg is 555 inches and one angle is 4545\degree45. for (var i=0; istream
Direct link to Spartan of Knowledge's post why does Sal say at 4:30 , Posted 10 years ago. if was x was negative, you'd have , lets say it was negative three, you'd have negative three squared, you'd have a positive nine, and so the principle root of a positive nine is going to be a positive three and so it wouldn't just be x, it wouldnt be negative three, it would be positive three, so you have to take the absolute value, and the other thing that is a perfect square is the four right here, its principle root is two, its principle square root i should say is two, so now you have, if we just change the order we are multiplying right here, you have four, four times the absolute value of x, four times the absolute value of x, times the square root of two, times the square root of two, I want to do that in that same yellow color, times the square root of two, plus plus we have five times two, which is ten, right, this whole thing is simplified to two, so we have plus ten square roots of two, now we could call it a day, and say we are all done adding and simplifying or you could add a little bit more depending on how you wanna view it, because over here you have four times the absolute value of x square roots of two, and here you have ten square roots of two so you have four absolute value of x of something, and you have ten of that same something, you could add them up, or another way to think about it is, you could factor out a square root of two either one of those works, so you get four times the absolute value of x, plus ten plus ten times times the principle square root of two, so depending on whether you view this of this more simplified, one of those two will will satisfy you, Lesson 8: Radicals (miscellaneous videos). 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