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Junior Mathematical Olympiad

Algebra Difficulty 2.3 Junior Find the answer Netherlands

A four digit number aabb‾\overline{aabb}, that is, the number whose digits are a,a,ba, a, b, and bb, is the square of an integer.
Of which integer is aabb‾\overline{aabb} the square?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

8888

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.