Whatever the extent of its deficiency

Yavadunam

This sutra gives a fast way to square numbers near a power of 10. Whether the number is slightly below or above the base (like 96 or 104 near 100), you use the deficit or surplus to find the answer in two quick steps.

How It Works

1.Choose the nearest power of 10 as the base (e.g. 100 for 96 or 104).
2.Find the deficit or surplus: how far the number is from the base.
3.If below base: subtract the deficit from the number to get the left part. If above: add the surplus.
4.Multiply the left part by the base. This gives the main portion.
5.Square the deficit/surplus and add it. The sum is the final answer.

Examples

96²

Step 1 / 6

Square 96. Choose the nearest power of 10 as the base.

Number96

Base100

Try It Yourself

95²

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