How do you calculate a square root?


Quick Answer

In order to calculate the square root of a non-perfect square number, first find two perfect squares between which the number lies. Second, divide the number by one of the two square roots. Thirdly, take the average of the result and the root to discover the answer.

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How do you calculate a square root?
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Full Answer

For example, to find the square root of 10, first note that it lies between 3 and 4, the square roots of 9 and 16, respectively. Then, divide 10 by 3 to get 3.33. Average 3.33 and 3 to get the answer 3.1667.

To come up with a more accurate answer, repeat the second and third steps. First, divide 10 by 3.1667 to get 3.1579. Then, average 3.1579 and 3.1667 to get 3.1623. Lastly, test the answer 3.1623 by squaring it. It should equal 10.0001.

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