Question
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.)
Ask by Fleming John. in the United States
Mar 12,2025
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Answer
\(\frac{\sqrt{35}}{5}\)
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To rationalize the denominator of \( \frac{\sqrt{7}}{\sqrt{5}} \), we multiply both the numerator and the denominator by \( \sqrt{5} \): \[ \frac{\sqrt{7}}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{7} \cdot \sqrt{5}}{5} = \frac{\sqrt{35}}{5} \] So, the simplified answer is: \[ \frac{\sqrt{35}}{5} \]