This video in the Education category will show you how to simplify radicals before adding or subtracting. By doing this you will find all like radicals which will then ensure that you have all radicals in the simplest form. Let's say you want to subtract square root of 45 from 3 square roots of 20. Now square root of 45 can be written as square root of 9 x square root of 5. Because, 9 and 5 are factors of 45. Similarly, 3 square roots of 20 can be simplified to 3 x square root of 4 x square root of 5. Now square root of 9 x square root of 5 will be 3 square root of 5. And 3 x square root of 4 x square root of 5 will be 3 x 2 x square root of 5 or 6 square root of 5. Square root of 5 being the common radical, subtract 3 from 6 and the result will be 3 square root of 5. When you watch the video this will be very clear.
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