1 Answer

Manuel BM · Answer 1 · 2023-05-13T13:22:46+0000

For this problem we want to estimate:

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

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