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(√2-√3)^2+√54-(√2+√3)^2-√2(√3-4)

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(√2-√3)^2+√54-(√2+√3)^2-√2(√3-4)

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$\small \left(\sqrt2-\sqrt3\right)^2+\sqrt{54}-\left(\sqrt2+\sqrt3\right)^2-\sqrt2\left(\sqrt3-4\right) =$

$= 2-2\sqrt2·\sqrt3+3 +3\sqrt6-\left(2+2\sqrt2·\sqrt3+3\right)-\left(\sqrt6-4\sqrt2\right) =$

$= 2-2\sqrt6+3+3\sqrt6-\left(5+2\sqrt6\right)-\sqrt6+4\sqrt2 =$

$= \cancel5-2\sqrt6+3\sqrt6-\cancel5-2\sqrt6-\sqrt6+4\sqrt2 =$

$= -2\sqrt6+4\sqrt2$



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