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How to combine square root numbers
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🔥 Day 146 — 2026 MIT Integration Bee (Qualifying) Q12 Evaluate: Integral from 0 to 1 of sqrt(x^2 x sqrt(x^2 x sqrt(x^2 x …))) dx This is an “infinite nested radical” problem that looks impossible… until you use self-similarity. Let the whole radical be y. Then the inside contains y again, which gives you a clean equation to solve before you integrate. Hints: \t•\tLet y = sqrt(x^2 x sqrt(x^2 x …)) \t•\tThen y = sqrt(x^2 x y) \t•\tSolve for y on [0, 1], then integrate 📣 Project Mentor: free guid
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