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sqrt(72) = sqrt(36*2) = sqrt(36)*sqrt(2) = 6*sqrt(2) Now, 14*14 = 196 so sqrt(196) = 14 so sqrt(200) is a bit more than 14 So the sqrt(2) is a bit more than 1.4 So 6*sqrt(2) is just a bit more than 6*1.4 = 8.4 The correct answer is 8.4853, so the above approx is only 1% out.

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Q: Which value is a reasonable approximation of the square root of 72?
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