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

User Molloch
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1 Answer

18 votes
18 votes

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:


\sqrt{m

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:


\lfloor m\rfloor

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

User NP Compete
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