(7√30/3√10-10√3)+√3+√10

7√3*√10/3√10-10√3+√3+√10=7/3*√3-10√3+√3+√10=-6 2/3*√3+√10

[latex](frac{7 sqrt{30} }{3sqrt{10}}-10 sqrt{3})+sqrt{3}+sqrt{10}=(frac{7sqrt{3}sqrt{10}}{3sqrt{10}}-10sqrt{3})=(frac{7sqrt{3}}{3}-10sqrt{3})+sqrt{3}+sqrt{10}=frac{7sqrt{3}-30sqrt{3}}{3}+sqrt{3}+sqrt{10}=[/latex][latex]=-frac{23sqrt{3}}{3}+sqrt{3}+sqrt{10}=frac{-23sqrt{3}+3sqrt{3}+3sqrt{10}}{3}=[/latex][latex]=frac{-20sqrt{3}+3sqrt{10}}{3}[/latex]