How do you approximate square roots?

to approximate square roots, find the two perfect squares that are closest to it. For example, if your square was the square root of 55, then put it on a number line between the square root of 49 and the square root of 64, which is between 7 and 8. Then, see how many numbers are between the desired square root and the perfect squares. For example, 49 is 6 away from 55, and 64 is 11 away from 55. Then, estimate the square root. For example, the square root of 55 might be 7.3 or 7.4

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