Question

найдите значение выражения

Answer 1

$\frac{7-4\sqrt{3}}{ \sqrt{3}-2 } -\sqrt{3}= \frac{7-4\sqrt{3}-\sqrt{3}(\sqrt{3}-2)}{\sqrt{3}-2} = \frac{7-4\sqrt{3}-3+2\sqrt{3}}{\sqrt{3}-2} = \frac{4-2\sqrt{3}}{\sqrt{3}-2} = \frac{2(2-\sqrt{3})}{\sqrt{3}-2} = \\ \\ = \frac{-2(\sqrt{3}-2)}{\sqrt{3}-2} =-2$