The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.115

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.115

where 2a + 1 is the difference between the squares of c and the next positive integer. Therefore,
√3 = √(1² + 2) = 1 + ⅔ = 5/3