Al sumar o restar radicales "similares" (kak\sqrt{a}con el mismoaa), combine los coeficientes. A menudo resulta útil simplificar primero cada radical. Los productos y cocientes generalmente se reducen a un solo radical usandoab\sqrt{ab}ya/b\sqrt{a/b}.
ma±na=(m±n)am\sqrt{a}\pm n\sqrt{a}=(m\pm n)\sqrt{a}
a⋅b=ab\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}paraa,b≥0a,b\ge0
A veces, primero se expanden los corchetes y luego se combinan los términos semejantes.
Simplificaciones de muestra.
Factor under the radical
27+12\sqrt{27}+\sqrt{12}
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