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Look for square numbers that are factors of 540, like 36. The square root of 540 = 6 times the square root of 15.
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You look for a perfect square among its factors; if you factor it into prime factors, you would look for a repeated prime factor. Then you take that factor out of the root sign (taking the square root of it, while you do it).
To simplify the square root of 12: Look at numbers that can be reduced from the larger number and can be square rooted itself. 4 * 3 = 12 The square root of 4 is 2. Therefore the simplification of the square root of 12 is: 2*square root of 3