Вычислить ( [tex] \sqrt{9+ \sqrt{3} } + \sqrt{6+2 \sqrt{2+ \sqrt{3} } } [/tex])*([tex] \sqrt{9+ \sqrt{3} } - \sqrt{6+2 \sqrt{2+ \sqrt{3} } } [/tex])
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=3+√3-2√((1,5+0,5)+(2√0,75))=3+√3-2√(√1,5²+2*√1,5*√0,5+√0,5²)=
=3+√3-2√(√(√1,5+√0,5)²)=3+√3-2(√1,5+√0,5)=3+√3-2√1,5-2√0,5=3+√3-√6-√2
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