Squaring 16, 26, 36, ..., 96

To square a two digit number ending in 6; i.e. 16, 26, 36, ..., 96, first square the prior number that is ending in 5 (as explained in the previous post), and then add the number and the prior number to it.


Example 1:

To square 16 (16^2):

16: the number
15: the prior number
Based on the previous post, we know that 15^2 = 225. So:

16^2 = 225 + 16 + 15 = 256


Example 2:

To square 46 (46^2):


46: the number
45: the prior number
Based on the previous post, we know that 45^2 = 2025. So:

46^2 = 2025 + 46 + 45 = 2116



Example 3:


To square 96 (96^2):


96: the number
95: the prior number
Based on the previous post, we know that 95^2 = 9025. So:

96^2 = 9025 + 96 + 95 = 9216.