Question
Rationalize the denominator. Simplify the answer. \( \frac{\sqrt{7}}{\sqrt{2}} \) (Type an exact answer using radicals as needed.)
Ask by Barnett Barker. in the United States
Mar 12,2025
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Answer
\( \frac{\sqrt{14}}{2} \)
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Beyond the Answer
To rationalize the denominator of \( \frac{\sqrt{7}}{\sqrt{2}} \), multiply both the numerator and the denominator by \( \sqrt{2} \): \[ \frac{\sqrt{7}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{14}}{2} \] So, the simplified and rationalized form of \( \frac{\sqrt{7}}{\sqrt{2}} \) is \( \frac{\sqrt{14}}{2} \).