Jadhav Theorem/Examples/Square of 406

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:

$406^2 = 400 \times 412 + 36 = 164 \, 800 + 36 = 164 \, 836$