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Home » Also, area \(A = r s\), so: - Midis

Also, area \(A = r s\), so: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 In 2 minutes (120 sec): 94.5 × 120 = <<94.5*120=11340>>11,340 bits.

📌 #### 11340Find the smallest positive integer \( n \) such that \( n^2 \) exceeds \( 1000 \).

📌 We want \( n^2 > 1000 \). Taking square roots:

📌 \( n > \sqrt{1000} \).

📌 Since \( \sqrt{1000} = \sqrt{100 \times 10} = 10\sqrt{10} \), and \( \sqrt{10} \approx 3.162 \),

📌 \( 10 \times 3.162 = 31.62 \).

📌 So the smallest integer \( n \) satisfying the inequality is \( n = 32 \).

📌 Check: \( 32^2 = 1024 > 1000 \), and \( 31^2 = 961 < 1000 \).

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