Problem: The number , written in the integral base , is the square of an integer, for
Answer Choices:
A. , only
B. and , only
C.
D.
E. no value of
Solution:
The expression is. of course. a square number for any value of . Since, however the largest possible digit appearing in a number written in the integral base is , the possible values for do not include and . Therefore, is the correct answer.