Question

What numbers does the square root of 125 fall between?
9 and 10
11 and 12
13 and 14
15 and 16

Answer 1

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

Answer 2

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"