Oblicz [latex](2 sqrt{75} - 2 sqrt{3} + sqrt{300} ) ^{-1} [/latex] (2sqrt{128} - sqrt{200} - sqrt{32} ) ^{-1} [/latex]

Oblicz [latex](2 sqrt{75} - 2 sqrt{3} + sqrt{300} ) ^{-1} [/latex] (2sqrt{128} - sqrt{200} - sqrt{32} ) ^{-1} [/latex]
Odpowiedź

[latex](2 sqrt{75} - 2 sqrt{3} + sqrt{300} ) ^{-1} =(15sqrt{3} -2sqrt{3} +10sqrt{3} )^{-1}=(23sqrt{3} )^{-1}= \ = frac{1}{23sqrt{3} } = frac{sqrt{3} }{69} \ \ \ (2sqrt{128} - sqrt{200} - sqrt{32} ) ^{-1}=(16 sqrt{2}-10sqrt{2} -4sqrt{2} )^{-1}=(2sqrt{2} )^{-1}= \ = frac{1}{2sqrt{2} }= frac{sqrt{2} }{4} [/latex]

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