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5 votes
What numbers does the square root of 125 fall between?

9 and 10
11 and 12
13 and 14
15 and 16

1 Answer

3 votes

Answer:

The answers are "11 and 12"

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\\√(11^2)<√(125)<√(12^2)\\ 11<√(125)<12

Finally the answers are "11 and 12"

User Jay Nanavaty
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