Rationalize the denominator. Simplify the answer. $$ \frac{\sqrt{7}}{\sqrt{5}} $$ $$ \frac{\sqrt{7}}{\sqrt{5}}=\square $$ (Type an exact answer using radicals as needed.)

Question

UpStudy AI · Accepted Answer

1. Multiply the given expression by $$ \frac{\sqrt{5}}{\sqrt{5}} $$ to eliminate the radical in the denominator:

$$
\frac{\sqrt{7}}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{7} \cdot \sqrt{5}}{\sqrt{5} \cdot \sqrt{5}}
$$

2. Simplify the numerator and the denominator:

- The numerator becomes $$ \sqrt{7 \times 5} = \sqrt{35} $$.
   - The denominator becomes $$ \sqrt{5 \times 5} = \sqrt{25} = 5 $$.

3. Write the final simplified expression:

$$
\frac{\sqrt{35}}{5}
$$

$$\frac{\sqrt{7}}{\sqrt{5}} = \frac{\sqrt{35}}{5}$$
$$\frac{\sqrt{35}}{5}$$

Rationalize the denominator. Simplify the answer. \( \frac{\sqrt{7}}{\sqrt{5}} \) \( \frac{\sqrt{7}}{\sqrt{5}}=\square \) (Type an exact answer using radicals as needed.)

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions