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Since our objective is to find √300, we need to separate 300 into its factors, and ideally factors containing square numbers. Here are the steps: 1. Separate into factors 2. Evaluate those factors That might sound a bit confusing, so let’s do your example: 1. √300 => √(100 x 3) => √100√3 2. Let’s evaluate (simplify and find the value of) these: √100 => 10 (as 10^2 is 100) √3 => √3 (you can’t simplify √3, it’s in it’s simplest form) So when we put the two steps together, we get: √300 => √100√3 => 10√3 which is the answer. I hope that helps :)

Mujavid Bukhari
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9.1k students helped

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