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Which value is a reasonable approximation of 8 plus the square root of 27?
Updated: 9/19/2023
Wiki User
∙ 12y agoBest Answer
The square root of 25 is 5
The square root of 36 is 6
So the square root of 27 is between 5 and 6, and closer to 5 than to 6.
Try 5.12 = 52 + 2*5*0.1 + 0.12 = 25 + 10*.1 + a little bit = around 26
5.22 = 25 +10*.2 + a little bit = 27 + a little so that looks good.
Then approx value for 8 + sqrt(27) = 8 + 5.2 = 13.2
The precise answer is 13.196 so the approximation is only 0.03% out.
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∙ 12y agoThis answer is:
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