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Know your squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 196, 225, ... (Also know that the square of a thousand is a million.) To estimate the square root of 50, for example, since 50 is just a little bigger than 49, its square root is just a little bigger than 7.

There are ways to squeeze one more decimal point out, but they are usually more trouble than they are worth, since calculators are so common. Just think of the square root of 50 as "seven point something".

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Q: How can you estimate a square root without using a calculator?
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