"Surd" is a word that is criminally misused.

Generally, it's a root (such as a square root, cube root, etc) that is not a whole number. Given a fraction with a surd we can simplify using the ideas of rationalising the denominator.

More to come ...

(none)	(none)			(none)
↓	↓		↓	↓
RationalisingTheDenominator			(none)
			↓
		⇌	You are here Surd
			↓
			CubeRoot Root SquareRoot WholeNumber
↓	↓		↓	↓
Denominator DifferenceOfTwoSquares DividingComplexNumbers	(none)			CoDomainOfAFunction ComplexNumber CountingNumber DomainOfAFunction Function FundamentalTheoremOfAlgebra ImageOfAFunction ImaginaryNumber Integer NaturalNumber NewtonsMethod RealNumber RiemannHypothesis RiemannSurface

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Surd