Question

Answer 1

a: \(Q=\dfrac{2-\sqrt{3}+1}{2-\sqrt{3}+2}=\dfrac{3-\sqrt{3}}{4-\sqrt{3}}=\dfrac{9-\sqrt{3}}{13}\)

Answer 2

\(b,M=PQ=\dfrac{x-\sqrt{x}+\sqrt{x}+1-2\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\cdot\dfrac{\sqrt{x}+1}{\sqrt{x}+2}\\ M=\dfrac{\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+2\right)}=\dfrac{\sqrt{x}-1}{\sqrt{x}+2}\)