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Estimating which integers are between square roots- please explain the steps!

Sagot :

Hello there. To solve this question, we want to determine how to find the square root of a value using estimations.

Given a number m, we want to determine an estimation for its square root:

[tex]\sqrt{m[/tex]

In this case, we have to find the closest integers to m, considering it is not a perfect square and is positive (greater than zero).

Of course, zero is the trivial case, since every square root is bounded below by zero.

For this, consider the function:

[tex]\lfloor m\rfloor[/tex]

It is the floor function and it gives us the nearest integer that is less than or equal to m.

We do the same to fi

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