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