[tex] (7 \sqrt{ \frac{5}{7} } - 5 \sqrt{ \frac{7}{5}} )^{2} [/tex]. Created by 2013Александра2013. algebra-ru

tex]...

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[tex] (7 \sqrt{ \frac{5}{7} } - 5 \sqrt{ \frac{7}{5}} )^{2} [/tex]

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DariosI

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$(7 \sqrt{ \frac{5}{7} })^{2}-2*7*5* \sqrt{ \frac{5*7}{5*7} }+ (5 \sqrt{ \frac{7}{5} } )^{2} =49 \frac{5}{7}-70+25 \frac{7}{5} =$ 35-70+35=0
или
$( \sqrt{7*5} )^{2} - ( \sqrt{5*7} )^{2} = \sqrt{35} ^{2}- \sqrt{35}^{2}=0$

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