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How do you determine which two numbers a square root is between?
Wiki User
∙ 11y ago
You need to know (or be able to find) perfect squares.
Suppose you want to find two numbers that the square root of 27 is between.
You need to find a number, N, such that N2 < 27 but the square of the next number is bigger ie (N + 1)2 > 27
The nearest perfect squares, on either side of 27 are 25 and 36.
That is, 25 < 27 < 36
Taking square roots,
5 < sqrt(27) < 6
However, it is also true that -6 < sqrt(27) < -5
Wiki User
∙ 11y ago
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Write both numbers as decimal numbers, then look for terminating decimals between the two.
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