Graduate Determining rationality of real numbers represented by prime digit sequence

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The discussion centers on the rationality of real numbers represented by a prime digit sequence. The original poster seeks validation of their answer regarding this mathematical concept. However, the thread has been locked, and the OP has been directed to repost their question in a designated homework forum. This indicates that the topic may require more specialized attention or guidance. The conversation highlights the importance of appropriate forum etiquette for academic inquiries.
Jiketz
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The problem describes a sequence of real numbers formed by arranging prime digits in a certain pattern. If the original real number is rational, then all subsequent numbers formed from its decimal expansion are also rational. However, there exists an irrational number with the same pattern whose subsequent numbers are still rational.
I would like to know if my answer is correct and if no ,could you correct.But it should be right I hope:
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Thread locked. The OP has been advised to repost the question in one of the homework forum sections.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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