What 2 square numbers subtract to make 2253?

What two square numbers subtract to make 2253? In other words, when you subtract one square number from another square number, the answer is 2253. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 2253

We solved the equation above and found this to be true:

377² - 374² = 2253

377² is 142129 and 374² is 139876, therefore the answer to the question "What 2 square numbers subtract to make 2253?" is 142129 and 139876 as illustrated below:

142129 - 139876 = 2253

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 2253. Below we list alternate solutions if available.

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