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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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13y ago

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