MathAdam
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MathAdam

The Square Root of 2 is Irrational

A visual approach

Fig. 0: We can construct √2 with compass and straight-edge, Euclid-style

Imagine a rectangle with aspect ratio of √2. Dissect it into a grid of tiny squares: u squares long by v squares wide (Figure 1).

Fig. 1: A rectangle with aspect ratio √2, divided into numerous itty bitty squares.

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Adam Hrankowski, ADHD

Adam Hrankowski, ADHD

Canadian math guy, experimenting with fiction. Find my new scifi/fantasy serial here: https://unaccompaniedminor.substack.com/