Tính

The image contains mathematical expressions and conditions. Here is the transcription of the content:

\[ H = \left( \frac{x\sqrt{x} - 1}{x - \sqrt{x}} \cdot \frac{x\sqrt{x} + 1}{x + \sqrt{x}} \right) \cdot \left( \frac{2(x - 2\sqrt{x} + 1)}{x - 1} \right) \]
\[ \text{ĐK: } x > 0, x \neq 1 \]

\[ K = \left( \frac{a\sqrt{a} + b\sqrt{b}}{\sqrt{a} + \sqrt{b}} - \frac{a\sqrt{b} - b\sqrt{a}}{\sqrt{a} - \sqrt{b}} \right) : \left( \frac{\sqrt{a} - \sqrt{b}}{\sqrt{a} + \sqrt{b}} \right) \]
\[ \text{(a ≥ 0; b ≥ 0; a ≠ b)} \]

\[ M = \frac{x - 2\sqrt{x}}{x\sqrt{x} - 1} + \frac{\sqrt{x} + 1}{x\sqrt{x} + x + \sqrt{x}} + \frac{1 + 2x - 2\sqrt{x}}{x^2 - x} \]
\[ \text{(Với x > 0, x ≠ 1)} \]

The conditions for the variables are:
- \( x > 0 \)
- \( x \neq 1 \)
- \( a \geq 0 \)
- \( b \geq 0 \)
- \( a \neq b \)