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Home » Question: Compute the square of $ \sqrt{7 + 2\sqrt10} + \sqrt{7 - 2\sqrt10} $. - Aurero

Question: Compute the square of $ \sqrt{7 + 2\sqrt10} + \sqrt{7 - 2\sqrt10} $. - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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But for compact:
≈ 1.2089 × 10¹⁹ → but per format, use exact expression? But answer exp...
#### 120892059414852865724713604639740173760
But this is too long. Instead, recognize:
Factor: 2⁶⁴(2¹⁶ − 1) = 18446744073709551616 × (65536 − 1) = 1844674407...
Now compute:
≈ 1.2089 × 10¹⁹ — but for math competition, better to compute differen...
But final:
But this is impractical. Instead, use logarithmic scale or accept math...
Let’s recompute with better logic:

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