Math Problem Statement
An identisquare is a square number whose digits are all the same. There are four single-digit identisquares: 0, 1, 4 and 9. Show that there are no identisquares with more than one digit.
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Square Numbers
Digit Patterns
Formulas
d × (10^(n-1) + 10^(n-2) + ... + 1) = d × (10^n - 1) / 9
Theorems
Properties of perfect squares
Growth rate of square numbers vs repeated digits
Suitable Grade Level
Grades 9-12
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