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never [62]
4 years ago
9

What number does the square root of 82 fall between

Mathematics
1 answer:
Yanka [14]4 years ago
3 0
Listing out a few elements of the set of perfect squares, we get the following values

{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}

we can stop there because 82 is between 81 and 100

So if x^2 = 82, then x^2 is between 81 and 100 meaning

81 < x^2 < 100

apply the square root to all sides of the compound inequality and we get

9 < x < 10

So the square root of 81 is between 9 and 10

Answer: the value falls between 9 and 10
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