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You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
sqrt(504) = -22.4499 and +22.4499

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Putting 504 as the product of its prime factors gives :-

504 = 23 x 32 x 7 = 22 x 2 x 32 x 7.

Thus √504 = 2 x 3√(2 x 7) = 6√14.

And 6√14 = 22.45 (2dp).

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Q: What is the square root of 504?
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