[tex] \text {The expression given is }\dfrac{6 \sqrt{2} }{ \sqrt{3} } [/tex]
[tex]\text{First, we shall multiply the numerator and the denomiator by } \sqrt{3} [/tex]
[tex]= \dfrac{6 \sqrt{2} \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } [/tex]
[tex]\sqrt{3} \times \sqrt{3} \text{ will gives us 3 and } \sqrt{2} \times \sqrt{3} \text{ will gives us } \sqrt{6} [/tex]
[tex] = \dfrac{6 \sqrt{6} }{3}[/tex]
[tex]\text{Now we divide 6 by 3, which will give us 2}[/tex]
[tex] 2 \sqrt{6} [/tex]
