Digital root number is the number mod 11 (Ɛ), for example, 1972 is 1 + 9 + 7 + 2 = 19 = 17 which is 1 + 7 = 8, while in decimal the root of the same number (3110) is 5; and in base 16 a digital root of a number is the number mod 15 (0xF), for example, 0x7DF is 7 + 13 + 15 = 35 = 0x23 which is 2 + 3 = 5, while in decimal the root of the same number (2015) is 8. Digital roots form an important mechanic in the visual novel adventure
Square root of 2 shown to contain no solutions as follows. Since formula_24 is even, formula_29 must be divisible by formula_30, which makes the entire equation congruent to modulo formula_30: The square of any odd number is always formula_33. The square of any even number is always formula_34. Since both formula_18 and formula_19 are odd and formula_24 is even, we have: which is impossible. Therefore, the fifth possibility is also ruled out, leaving the sixth to be the only possible combination to contain solutions, if any. An extension of this lemma is the result that two identical whole-number squares can never be added to