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Question 4Fill out the boxes to demonstrate your understanding of estimating a non perfect square?Estimate V388 to the nearest whole number?V388АBCDEFFinal Estimate

User Akshay Joy
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1 Answer

29 votes
29 votes

For this problem we want to estimate:


√(388)

We need to take in count that this number is not a perfect square. And we can use the following definition:


√(x)=\sqrt{nearestp\operatorname{erf}ectsquare}\text{ + }\frac{x-p\operatorname{erf}ectsquare}{2\sqrt{p\operatorname{erf}ectsquare}}

The nearest perfect square to 388 is 361 because:


√(361)=\text{ }√(19\cdot19)=19

And replacing we have:


√(388)=√(361)+(388-361)/(2√(361))=19+(27)/(2\cdot19)=19+(27)/(38)\text{ }
A=361,B=19,C=400,D=20,E=19,F=20

User Maxspan
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