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Find the largest 3-digit number that is a perfect square.

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To find the largest number of 3 digits that is a perfect square, follow these steps:

1. Identify the Range of 3-Digit Numbers:
The smallest 3-digit number is 100, and the largest 3-digit number is 999.

2. Determine the Square Root of the Largest 3-Digit Number:
To find the largest 3-digit perfect square, we start by finding the square root of 999. The square root of 999 is approximately 31.6 since 31.6 * 31.6 is slightly greater than 999.

3. Find the Largest Integer Less than or Equal to the Square Root:
We consider the integer part of the square root of 999. This integer value is 31.

4. Square this Integer to Get the Largest 3-Digit Perfect Square:
Squaring 31, we get:
[tex]\[ 31^2 = 961 \][/tex]

Thus, 961 is the largest 3-digit number that is a perfect square, and 31 is its base.

Therefore, the largest number of 3 digits that is a perfect square is [tex]\( \boxed{961} \)[/tex].
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