Yavadunam
"Yavadunam" is a Vedic mathematics sutra that translates to "whatever the extent of its deficiency." This sutra is particularly useful for squaring numbers that are close to a certain base.
Here's how it works:
Find the deficiency of the given number from a base that's convenient (often a power of 10).
Square the deficiency.
Subtract the squared deficiency from the square of the base.
Add the result to the original number to get the final square.
For example, let's say you want to square 97 using the "Yavadunam" sutra and use a base of 100:
Deficiency = 100 - 97 = 3.
Square of deficiency = 3 * 3 = 9.
Square of base = 100 * 100 = 10000.
Final square = 10000 + 9 = 10009.
This sutra simplifies squaring numbers close to a base, making calculation
s faster and more efficient.
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