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Home » Solution: The square root of a square simplifies to the absolute value: - Professionaloutdoormedia

Solution: The square root of a square simplifies to the absolute value: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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a^2 + b^2 = 25
Possible values for \(a^2\) are \(0, 1, 4, 9, 16, 25\). We check each:
\(a^2 = 0\), \(b^2 = 25\) gives \((a, b) = (0, \pm 5)\)
\(a^2 = 1\), \(b^2 = 24\) is not possible
\(a^2 = 4\), \(b^2 = 21\) is not possible
\(a^2 = 9\), \(b^2 = 16\) gives \((a, b) = (\pm 3, \pm 4)\)

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