Đáp án:
`(\sqrt{75}-5\sqrt{2})/(\sqrt{3}-\sqrt{2})` `-` `5/(1+\sqrt{6})` `+` $\sqrt{7-2\sqrt{6}}$
`=` `(5(\sqrt{3}-\sqrt{2}))/(\sqrt{3}-\sqrt{2})` `-` `5/(1+\sqrt{6})` `+` $\sqrt{6-2\sqrt{6}+1}$
`=` `5-``(5(1-\sqrt{6}))/(-5)``+``\sqrt{6}``-1`
`=` `5+1-``\sqrt{6}``+``\sqrt{6}``-1`
`=5`