Semplifica $(2sqrt(3)-sqrt(2))(sqrt(3)+sqrt(2))-(sqrt(3)-sqrt(2))^2+sqrt(2)(2sqrt(2)-sqrt(3))$

A cura di: Antonio Bernardo

$(2sqrt(3)-sqrt(2))(sqrt(3)+sqrt(2))-(sqrt(3)-sqrt(2))^2+sqrt(2)(2sqrt(2)-sqrt(3))$

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Moltiplio

$2 sqrt(9) +2 sqrt(6) – sqrt(6) – sqrt(4) – (3 -2 sqrt(6) +2) +2 sqrt(4) – sqrt(6)$

eliminando le radici di quadrati perfetti

$6+ sqrt(6) -2 -3 +2 sqrt(6) -2+4- sqrt(6)$

$5+2 sqrt(6)$