The Proof That Pi is Irrational | Explained Step by Step
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YouTubePower Of Pi
The Proof That Pi is Irrational | Explained Step by Step
In this video, we walk through one of the most elegant proofs in mathematics: the proof that π (pi) is irrational. Step by step, you’ll see how calculus, algebra, and clever use of integrals combine to show that pi can’t be expressed as a fraction of two integers. From building special functions to bounding integrals, this proof is a ...
17 views5 months ago
Proof that π Is Irrational Video
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Tim Ricchuiti on Instagram: "Pi won’t start repeating after a trillion digits. And it’s not because we checked the digits. We know π is irrational from a proof going back to Lambert in the 1700s. His result shows that if tan(x) is rational (and x ≠ 0), then x must be irrational. But tan(π/4) = 1, and 1 is rational. So π/4 is irrational → π is irrational. #pi #irrationalnumbers #mathreels #mathproofs"
1:38
Tim Ricchuiti on Instagram: "Pi won’t start repeating after a trillion digits. And it’s not because we checked the digits. We know π is irrational from a proof going back to Lambert in the 1700s. His result shows that if tan(x) is rational (and x ≠ 0), then x must be irrational. But tan(π/4) = 1, and 1 is rational. So π/4 is irrational → π is irrational. #pi #irrationalnumbers #mathreels #mathproofs"
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