\(Q=\dfrac{\sqrt{x}+1}{\sqrt{x}\left(\sqrt{x}-1\right)}:\dfrac{\sqrt{x}-1+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\ Q=\dfrac{\sqrt{x}+1}{\sqrt{x}\left(\sqrt{x}-1\right)}\cdot\dfrac{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}{\sqrt{x}}=\dfrac{\left(\sqrt{x}+1\right)^2}{x}\)
Q=√x+1√x(√x−1):√x−1+1(√x−1)(√x+1)Q=√x+1√x(√x−1)⋅(√x−1)(√x+1)√x=(√x+1)2x