define surd in maths
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Surds are numbers left in
'square
root form' (or 'cube root form' etc). They are therefore irrational numbers. The reason we leave them as surds is because in decimal form they would go on forever and so this is a very clumsy way of writing them.
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A surd is a number or quantity that cannot be expressed as the ratio of two integer s. The term also refers to a symbol ( ) that is sometimes used to indicate that the number or quantity that follows it is a root.The surd symbol, all by itself, indicates the square root (1/2 power). If the surd has a number x written ahead of it and over the horizontal portion, then the symbol refers to the x th root (1/ x power) of that number.
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