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To find a square root that is not a perfect square, it will be necessary to find an approximate answer by using the procedure given in the example below:

Since 40 is between 36 and 49, then the square root of 40 is between 6 ( √36), and 7 (√49). 36 < 40 < 47 √36 < √40 < √47 6 < √40 < 7 Since 40 is almost less than halfway between 36 and 47, √40 is almost less than halfway between √36 and √47. To check, multiply 6.32 x 6.32 = 39.9424 or 40. For a better approximation use the calculator.

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