Questions: Select the best answer for the question. 16. Rationalize the denominator. -13/sqrt(x) A. It's already rationalized. B. 169/x C. -13 sqrt(x)/x D. x sqrt(x)/-13

Solution Steps

To rationalize the denominator of the expression \(\frac{-13}{\sqrt{x}}\), we need to eliminate the square root from the denominator. This can be done by multiplying both the numerator and the denominator by \(\sqrt{x}\).

We start with the expression given in the problem: \[ \frac{-13}{\sqrt{x}} \]

To rationalize the denominator, we multiply both the numerator and the denominator by \(\sqrt{x}\): \[ \frac{-13}{\sqrt{x}} \cdot \frac{\sqrt{x}}{\sqrt{x}} = \frac{-13 \sqrt{x}}{x} \]

The expression is now simplified to: \[ \frac{-13 \sqrt{x}}{x} \]

Final Answer