Question

 \(\frac{3\sqrt{2}-2\sqrt{3}}{\sqrt{3}-\sqrt{2}}\)   -  \(\frac{5}{1+\sqrt{6}}\) 

Rút Gọn

Answer 1

\(\frac{3\sqrt{2}-2\sqrt{3}}{\sqrt{3}-\sqrt{2}}-\frac{5}{1+\sqrt{6}}\)

\(\Rightarrow\frac{\sqrt{9}.\sqrt{2}-\sqrt{4}.\sqrt{3}}{\sqrt{3}-\sqrt{2}}-\frac{5}{1+\sqrt{6}}\)

\(\Rightarrow\frac{(\sqrt{3}-\sqrt{2})\sqrt{6^2}}{\sqrt{3}-\sqrt{2}}-\frac{5}{1+\sqrt{6}}\)

\(\Rightarrow\sqrt{6}-\frac{5}{1+\sqrt{6}}\)

\(\Rightarrow\frac{6+6\sqrt{6}-5}{1+\sqrt{6}}\)

\(\Rightarrow\frac{1+6\sqrt{6}}{1+\sqrt{6}}\)