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[tex] \sqrt{10+4 \sqrt{6} } [/tex]=?
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Răspuns :

GreenEyes71
[tex]\sqrt{10+4\sqrt6}=\sqrt{6+2\cdot 2\cdot\sqrt6+4}=\sqrt{(\sqrt6)^2+2\cdot 2\cdot\sqrt6+2^2}=\sqrt{(\sqrt6+2)^2}=\\=|\sqrt6+2|=\sqrt6+2.[/tex]

Green eyes.

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