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Home » 🚨 A Way Out: The Shocking Secret No One Tells You Will Change Your Life! - IQnection

🚨 A Way Out: The Shocking Secret No One Tells You Will Change Your Life! - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 $$ x = \frac{4 \pm \sqrt{16 + 12}}{2} = \frac{4 \pm \sqrt{28}}{2} = 2 \pm \sqrt{7} $$

📌 The solutions are $ \boxed{2 + \sqrt{7}} $ and $ \boxed{2 - \sqrt{7}} $.

📌 Question: Rationalize the denominator of $ \frac{\sqrt{5}}{\sqrt{3} - \sqrt{2}} $.

📌 Solution: Multiply numerator and denominator by $ \sqrt{3} + \sqrt{2} $:

📌 $$ \frac{\sqrt{5}(\sqrt{3} + \sqrt{2})}{(\sqrt{3} - \sqrt{2})(\sqrt{3} + \sqrt{2})} $$

📌 Simplify denominator:

📌 $$ (\sqrt{3})^2 - (\sqrt{2})^2 = 3 - 2 = 1 $$

📌 Thus, the expression becomes:

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