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📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 5Question: Rationalize the denominator of $\displaystyle rac{3}{\sqrt{7} - \sqrt{2}}$ and simplify.

📌 Solution: To rationalize the denominator, multiply numerator and denominator by the conjugate $\sqrt{7} + \sqrt{2}$:

📌 rac{3}{\sqrt{7} - \sqrt{2}} \cdot rac{\sqrt{7} + \sqrt{2}}{\sqrt{7} + \sqrt{2}} = rac{3(\sqrt{7} + \sqrt{2})}{(\sqrt{7} - \sqrt{2})(\sqrt{7} + \sqrt{2})}

📌 Using the difference of squares in the denominator:

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