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To simplify a root, you need to be aware that the root of ab is the same as the root of a multiplied by the root of b. To simplify we need to find the prime factors of the number and identify any repeated factors. In this case, we have 850, which is expressed as 2x5x5x17. The 5 comes twice, and so we can divide by 25 to give 34. There are no more repeated factors. Therefore the square root of 850 is 5 the square root of 34.
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