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Simplify \(\dfrac { \sqrt { 6 } -2\sqrt { 3 } }{ \sqrt { 6 } +2\sqrt { 3 } } \)

 May 24, 2020
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Simplify \(\dfrac { \sqrt { 6 } -2\sqrt { 3 } }{ \sqrt { 6 } +2\sqrt { 3 } } \)

 

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\(\dfrac { \sqrt { 6 } -2\sqrt { 3 } }{ \sqrt { 6 } +2\sqrt { 3 } } \times \dfrac { \sqrt { 6 } -2\sqrt { 3 } }{ \sqrt { 6 } -2\sqrt { 3 } }=\dfrac{6-4\cdot \sqrt{6\cdot 3}+4\cdot 3}{6-4\cdot 3}=\dfrac{18-12\cdot \sqrt{2}}{-6} \)

\(=-3+2\cdot \sqrt{2}\)

laugh  !

 May 24, 2020
edited by asinus  May 24, 2020

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