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Cu explicatii!!!
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Răspuns :

[tex] \sqrt{9+4 \sqrt{2} } + \sqrt{(3- \sqrt{2})^2 } - \sqrt{3-2 \sqrt{2} } = \\ \\ = \sqrt{1^2+2*1*2 \sqrt{2}+(2 \sqrt{2} )^2 } +3- \sqrt{2} - \sqrt{1^2-2* 1*\sqrt{2} +( \sqrt{2} )^2} = \\ \\ \sqrt{(1+2 \sqrt{2})^2 } +3- \sqrt{2} - \sqrt{(1- \sqrt{2})^2 } = \\ \\ 1+2 \sqrt{2} +3- \sqrt{2} - \sqrt{2} +1= \\ \\ =5[/tex]