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Here are some tips for Estimating Square Roots, which aligns with New York state standards:

Estimating Square Roots


To estimate square roots, you need to know square numbers.
Review the table of square numbers to help you with this topic.

Table of Square Numbers


Example:

Input between which two integers you think the following square roots fall.
i.e. √15: Lower integer = 3, Higher integer = 4
√156 Lower integer: Higher integer:
Which square numbers does 156 fall between?
? < 156 < ?
144 < 156 < 169
122 < 156 < 132
This means that
√122 < √156 < √132
12 < √156 < 13
The answer is   Lower integer:   Higher integer:

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