Rationalise and simplify $\frac{\sqrt{3}-7}{\sqrt{3}+1}$
Give your answer in the form $a+b \sqrt{3}$ where $a$ and $b$ are integers.

Answer

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Answer

Simplify the expression: $\boxed{5 - 4\sqrt{3}}$

Steps

Step 1 ：Multiply the numerator and denominator by the conjugate of the denominator: $\frac{(-7 + \sqrt{3})(\sqrt{3}-1)}{(1 + \sqrt{3})(\sqrt{3}-1)}$

Step 2 ：Simplify the expression: $\boxed{5 - 4\sqrt{3}}$