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Home » 2x + 3y &= 6 \\ - All Square Golf

2x + 3y &= 6 \\ - All Square Golf

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 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:

📌 rac{3(\sqrt{7} + \sqrt{2})}{5} = rac{3\sqrt{7} + 3\sqrt{2}}{5}

📌 Final simplified form:

📌 oxed{rac{3\sqrt{7} + 3\sqrt{2}}{5}}

📌 Question: Let $f(x) = 2x^2 - 3x + 1$ and $g(x) = \sqrt{x + 4}$. What is $g(f(2))$?

📌 Solution: First evaluate $f(2)$:

📌 f(2) = 2(2)^2 - 3(2) + 1 = 8 - 6 + 1 = 3

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