The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.152
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.152
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c8.t2.152
Squaring both sides and cancelling e² from both sides, $17/6 e = 2 - (17/12)² = - 1/144$ $∴ e = - 1/144 × 6/17 = 1/12.34$ $= - 1/3.4.34$ $∴ √2 = 1 + ⅓ + 1/3.4 - 1/3.4.34 (approx.)$