Jadhav Theorem/Examples/Square of 406
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Examples of Use of Jadhav Theorem
Consider the square of $406$.
Consider $406$ as a term in an arithmetic sequence:
- $400$, $406$, $412$
whose common difference is $6$.
Then from the Jadhav Theorem:
- $406^2 - 400 \times 412 = 36^2$
from which we have:
- $406^2 = 400 \times 412 + 36 = 164 \, 800 + 36 = 164 \, 836$