Yavadunam

Whatever the extent of its deficiency (ya · va · du · nam)

What it means

Square a number that's close to a round base — like 97 or 998 — in two steps, by measuring how far short it falls. The corollary upa-sutra spells out the second step: reduce by that shortage, and square the shortage itself.

Worked example

Square 97. 97 falls short of 100 by 3. Subtract that shortage from the original: 97 − 3 = 94. Square the shortage: 3² = 9, written as 09 (two digits because the base 100 has two zeros). Stick them together: 9409.


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