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With perfect squares the number is usually easier to guess and check than calculate, as calculating is a much longer and more complicated process known to few. Guessing and checking may also involve breaking the perfect square down into smaller squares, such as sqrt(5184)-->sqrt(9*576)-->3*24=72, which is also done in large part by conjectures.

Squares to about 25 are useful and easy to memorize, as are the cubes of up to about 10.

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Q: How do you get the square root of numbers with a perfect square?
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