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surd
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surd

In mathematics, expression containing the root of an irrational number that can never be exactly expressed – for example, √3 = 1.732050808... .

√3 can be expressed in index notation as 31/2 or 3 to the power half.

Simplifying surds (roots)

Expressions involving surds can be factorized numerically to simplify them. For example, to simplify √20 + √5:

√20 = √(4 × 5) = √4 × √5 = 2√5, so

√20 + √5 = 2√5 + √5 = 3√5



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