giair phương trình

\(\dfrac{x\sqrt{x}+1}{x-1}-\dfrac{x-1}{\sqrt{x}+1}\\ =\dfrac{x\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}-\dfrac{x-1}{\sqrt{x}+1}\\ =\dfrac{x\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}-\dfrac{\left(x-1\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\\ =\dfrac{x\sqrt{x}+1-\left(x\sqrt{x}-x-\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\ =\dfrac{x\sqrt{x}+1-x\sqrt{x}+x+\sqrt{x}-1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\ =\dfrac{x+\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\ =\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\\)

\(=\dfrac{\sqrt{x}}{\sqrt{x}-1}\)

Đăng đúng môn nhe cậu 

ạ máy em hơi lag nên v á 

Bạn không nêu rõ yêu cầu đề bài.

Nếu là rút gọn thì:

\(\sqrt{2+\sqrt{2}}+\frac{1}{\sqrt{18}}-\frac{2\sqrt{3}-\sqrt{6}}{\sqrt{24}}=\sqrt{2+\sqrt{2}}+\frac{\sqrt{2}}{\sqrt{36}}-\frac{\sqrt{6}(\sqrt{2}-1)}{\sqrt{6}.\sqrt{4}}\)

\(=\sqrt{2+\sqrt{2}}+\frac{\sqrt{2}}{6}-\frac{\sqrt{2}-1}{2}=\sqrt{2+\sqrt{2}}+\frac{\sqrt{2}}{6}-\frac{3\sqrt{2}-3}{6}\)

\(=\sqrt{2+\sqrt{2}}+\frac{3-2\sqrt{2}}{6}\)

X là S

Y là H₂O

Z là CaSO₃

T là CaCl₂