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TL;DR

Estimating Square Roots by Linearization: A canonical quantitative trading interview question at foundation difficulty. Commonly asked at Optiver, SIG, Akuna Capital, IMC, Flow Traders.

By Valenke Exam Prep Team·Last updated 2026-06-01
foundationMental Approximation

Estimating Square Roots by Linearization

Asked at: Optiver, SIG, Akuna Capital, IMC, Flow Traders

Problem
Without a calculator, estimate: 1. 50\sqrt{50} 2. 170\sqrt{170} 3. 1000\sqrt{1000} Each answer should be accurate to within 1%.
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