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Efectuati:[tex]( \frac{ \sqrt{3} }{2} - 3\sqrt{2} + \frac{1}{ \sqrt{3} } + \frac{1}{ \sqrt{2} } ) : ( \frac{1}{ 2\sqrt{3} } - \frac{1}{ \sqrt{2} } )[/tex]

Răspuns :

=(√3/2-3√2+√3/3+√2/2):(2√3/12-√2/2)
=[(3√3-18√2+2√3+3√2)/6]:[(2√3-6√2)/12]
=[(5√3-15√2)/6]x[12/(2√3-6√2)]=simplif cu6
=[5(√3-3√2)]x[2/2(√3-3√2)]=
=[5(√3-3√2)]/(√3-3√2)=5