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You can try and work them out on a calculator, but that will only give you an , accurate to ten decimal places or so - it's not exact.

Surds are all "irrational" numbers - that means they can't be expressed as fractions, so their decimal expansions go on forever with no real pattern.

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(Fractions like or go on forever too, but they start repeating themselves after a while.) For example: To simplify a surd , you have to find the largest perfect square that divides . You then separate the two to get something of the form .

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