# How do you rationalize the denominator and simplify the expression (x-1)/sqrtx?

Multiply and divide by $\sqrt{x}$:
$\frac{x - 1}{\sqrt{x}} \cdot \frac{\sqrt{x}}{\sqrt{x}} = \sqrt{x} \frac{x - 1}{x} = \sqrt{x} - \frac{\sqrt{x}}{x}$