Question

If root 3 minus 1 upon root 3 + 1 is equal to a minus b root 3 then find the values of A and B

Answer 1

a minus b root 3 is equal to

$\frac{\sqrt{3} -1}{\sqrt{3} +1} =\frac{\sqrt{3} -1}{\sqrt{3} +1} \times \frac{\sqrt{3} -1}{\sqrt{3} -1}=\frac{(\sqrt{3} -1)^2}{3-1} =\frac{3-2\sqrt{3} +1}{2} =2-\sqrt{3}$

Then a is 2 and b is -1.