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To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2022 is 20222022. Is there a positive integer whose echo is a perfect square

Sagot :

The echo number 20222022202220222022 is the perfect square of 4496890281.

What echo number is a perfect square

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

[tex]\sqrt{20222022202220222022} = 4496890281[/tex]

The echo number 20222022202220222022 is the perfect square of 4496890281. [tex]\blacksquare[/tex]

To learn more on natural numbers, we kindly invite to check this verified question: https://brainly.com/question/17429689

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