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Showing posts from May, 2014

Math: (Shortcut for) Simplifying (Denesting) Nested Square Roots

The basic form looks like this: Let's go to the methods and examples. PLUS √4 + √3 = 2 + √3 MINUS This is how we come up with 12 = 4 · 3 and 56 = 8 · 7 . The simplest way is to factor the number within the last square root. Then find the ones which if added will produce the first number. For instance √(8 + 2√15) We have 8 as the first number and 15 as the last one. Factors of 15: 1 · 15 = 15 3 · 5 = 15 Therefore, we choose the 2 nd one, the 3 · 5 = 15 Because ➡️ 3 + 5 = 8 So we have x = 3 and y = 5 We put all together ➡️ √(8 + 2√15) = √3 + √5 Trick #1 Trick #2