
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
We insert the number 48 between the two digits of the number 49. Then we insert the number 48 again between the 4 and 8, and repeat this process several times (e.g., $44 \ldots 48 \ldots 89$). Is it true that the resulting number will always be a perfect square?

Present the answer in LaTex format: \boxed{Your answer}
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