312+103−633\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}312+103−36
= 34×3+103−633\sqrt{4\times 3} + 10\sqrt{3} - \frac{6}{\sqrt{3}}34×3+103−36
= 63+103−636\sqrt{3} + 10\sqrt{3} - \frac{6}{\sqrt{3}}63+103−36
treating like a fraction, then
= 18+30−63\frac{18+30-6}{\sqrt{3}}318+30−6
= 423\frac{42}{\sqrt{3}}342
rationalizing
= 14314\sqrt{3}143
