Finding the square of the given number
We can find the square of 109 by applying the identity (a + b)2 = a2 + 2ab + b2
Now, 109 can be written as 100 + 9.
On applying the identity, we get,
1092 = (100 + 9)2
= (100)2 + 2(100)(9) + (9)2
= 10000 + 1800 + 81
= 11881
Hence, using an identity, the square of 109 is 11881.