# Square of two digit number whose digits are same

Let us consider the 2-digit number as aa. Let’s see how the square of the number looks like:

Examples:
$$11^{2}$$ = $$1^{2}$$ / 2$$(1^{2})$$ / $$1^{2}$$ = 1 / 2 / 1=121

$$22^{2}$$ = $$2^{2}$$ / 2$$(2^{2})$$ / $$2^{2}$$ = 4 / 8 / 4=484

$$55^{2}$$ = $$5^{2}$$ / 2$$(5^{2})$$ / $$5^{2}$$ = 25 / 50 / 25=3025
For detailed explanation check below:

Similarly one more example:

$$77^{2}$$ = $$7^{2}$$ / 2$$(7^{2})$$ / $$7^{2}$$ = 49 / 98 / 49=5929
For detailed explanation check below: