\(P=\left(\dfrac{1}{1-\sqrt{x}}-\dfrac{1}{\sqrt{x}}\right):\left(\dfrac{2x+\sqrt{x}-1}{1-x}+\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\right)\) rút gọn 

rút gọn \(P=\left(\dfrac{1}{1-\sqrt{x}}-\dfrac{1}{\sqrt{x}}\right):\left(\dfrac{2x+\sqrt{x}-1}{1-x}+\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\right)\)

\(\sqrt{\dfrac{27x^2}{6\left(1-x\right)^4}}\) rút gọn 

\(\dfrac{\sqrt{32\left(3-x\right)^4}}{\sqrt{50\left(x-3\right)^2}}\)  rút gọn 

\(x^2-78x+993=0\)

\(\sqrt{x-6-4\sqrt{x-2}}=5\)

\(\sqrt{x^2+2x+2}=x-1\)

\(\sqrt{x-2\sqrt{x-1}}=3\)