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Squares and Cubes

Finding Squares of Numbers Using General Method

This method of squaring is based on a corollary of “Nikhilam sutra”, which reads “Yavdunam Tavdunikratya vargam cha yojayet” and means “whatever the extent of its deficiency, lessen it further to that very extent; and also set up the square of its deficiency”.

This method is very helpful in calculating squares of numbers close to 10, 100, 1000, etc.

Three probable cases are possible:

Case I: When the number is less than and close to 10n (For example, 982)

Case II: When the number is greater than and close to 10n (For example, 10092)

Case III: When the number is not close to 10n (For example, 452)

Watch the following video to understand case I, where the number is less than 10n.

Solved Example…

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