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Racionalitzar 4

Racionalitzar és eliminar les arrels del denominador.

Si hi ha una suma o una diferència d'arrels al denominador, es multiplica el numerador i el denominador pel conjugat per aplicar

(a+b)(a-b)=a2-b2

Si  hi ha arrels al numerador:

fraction numerator 2 plus square root of 5 over denominator square root of 5 plus square root of 3 end fraction equals fraction numerator open parentheses 2 plus square root of 5 close parentheses bold times open parentheses square root of bold 5 bold minus square root of bold 3 close parentheses over denominator open parentheses square root of 5 plus square root of 3 close parentheses bold times open parentheses square root of bold 5 bold minus square root of bold 3 close parentheses end fraction equals fraction numerator 5 minus 2 square root of 3 plus 2 square root of 5 minus square root of 15 over denominator 5 minus 3 end fraction equals fraction numerator 5 minus 2 square root of 3 plus 2 square root of 5 minus square root of 15 over denominator 2 end fraction

i es simplifica
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