Hasil dari √3/√2(√6-√3)

[tex] \frac{ \sqrt{3} }{ \sqrt{2} }( \sqrt{6}- \sqrt{3})\\ = \frac{ \sqrt{3} }{ \sqrt{2} }( \sqrt{6})- \frac{ \sqrt{3} }{ \sqrt{2} }( \sqrt{3})\\ = \frac{ \sqrt{3}\times \sqrt{6} }{ \sqrt{2} }-\frac{ \sqrt{3}\times \sqrt{3} }{ \sqrt{2}}\\ =\frac{ \sqrt{18}}{ \sqrt{2} }-\frac{ \sqrt{9}}{ \sqrt{2} }\\ =\frac{ 3\sqrt{2}}{ \sqrt{2} }-\frac{ 3}{ \sqrt{2} }\\ =3-\frac{ 3}{ \sqrt{2} }\\ =3-\frac{ 3}{ \sqrt{2} }\times\frac{ \sqrt{2}}{ \sqrt{2} }\\ =3- \frac{3\sqrt{2}}{2}\\ \bold{=3- \frac{3}{2}\sqrt{2}}\\ [/tex]