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Home » A = \sqrt28 \times 21 \times 4 \times 3 - RoadRUNNER Motorcycle Touring & Travel Magazine

A = \sqrt28 \times 21 \times 4 \times 3 - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 For $ t = 3 $: $ 9a + 3b + c = 2100 $ (3)

📌 Subtract (1) from (2): $ 3a + b = 700 $ (4)

📌 Subtract (2) from (3): $ 5a + b = 900 $ (5)

📌 Subtract (4) from (5): $ 2a = 200 \Rightarrow a = 100 $.

📌 The value of $ a $ is $ \boxed{100} $.

📌 Question: Rationalize the denominator of $ \frac{\sqrt{7}}{\sqrt{7} - \sqrt{3}} $.

📌 Solution: Multiply numerator and denominator by the conjugate $ \sqrt{7} + \sqrt{3} $:

📌 \frac{\sqrt{7}(\sqrt{7} + \sqrt{3})}{(\sqrt{7} - \sqrt{3})(\sqrt{7} + \sqrt{3})} = \frac{7 + \sqrt{21}}{7 - 3} = \frac{7 + \sqrt{21}}{4}

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