If \( \frac{\sqrt{3}-1}{\sqrt{3}+1}=a+b \sqrt{3} \), find the value of \( \mathrm{a} \) and \( \...

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If \( \frac{\sqrt{3}-1}{\sqrt{3}+1}=a+b \sqrt{3} \), find the value of \( \mathrm{a} \) and \( \mathrm{b} \).
a. \( a=2, b=-1 \)
b. \( a=2, b=2 \)
c. \( a=2, b=-1 \)
d. \( a=2, b=3 \)
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