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DakotaRR17

the square root of 125 is 11.18 so therefore it falls between 11 and 12

Answer:

The answers are "11 and 12"

Step-by-step explanation:

In order to determine the square root of 125, we have to estimate the nearest square root. We elevate some numbers near of 125. It is useful to know some approximation:

\(10^2=100\\11^2=121\\12^2=144\\13^2=169\)

Then, the value "125" is in between \(11^2 and 12^2\).

\(11^2<125<12^2\\\sqrt{11^2}<\sqrt{125}<\sqrt{12^2}\\ 11<\sqrt{125}<12\)

Finally the answers are "11 and 12"

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