Rationalize the denominator: $$ \frac{19}{\sqrt{19}} $$ Enter an exact answer, not a decimal approximation. $$ $$ Next Question

Question

Rationalize the denominator: $$ \frac{19}{\sqrt{19}} $$ Enter an exact answer, not a decimal approximation. $$ > $$ Next Question

UpStudy AI · Accepted Answer

To rationalize the denominator of the expression $$ \frac{19}{\sqrt{19}} $$, follow these steps:

1. **Multiply the numerator and the denominator by $$ \sqrt{19} $$** to eliminate the square root in the denominator:

$$
   \frac{19}{\sqrt{19}} \times \frac{\sqrt{19}}{\sqrt{19}} = \frac{19 \times \sqrt{19}}{(\sqrt{19})^2}
   $$

2. **Simplify the denominator**:

$$
   (\sqrt{19})^2 = 19
   $$

3. **Cancel out the common terms** in the numerator and the denominator:

$$
   \frac{19 \times \sqrt{19}}{19} = \sqrt{19}
   $$

So, the rationalized form of $$ \frac{19}{\sqrt{19}} $$ is:

$$
\sqrt{19}
$$

**Answer:**  
$$\sqrt{19}$$
$$\sqrt{19}$$

Rationalize the denominator: \( \frac{19}{\sqrt{19}} \) Enter an exact answer, not a decimal approximation. \( > \) Next Question