Simplify the expression: \(\frac{\left(\sqrt{2}-1\right)^{1-\sqrt{3}}}{\left(\sqrt{2}-1\right)^{1+\sqrt{3}}}\), writing your answer as \(\:a-b\sqrt{c}\), where a, b, and c are positive integers
The expression is equal to 6 - 3*sqrt(2).
Can you explain how you got your answer?