What 2 square numbers subtract to make 253?

What two square numbers subtract to make 253? In other words, when you subtract one square number from another square number, the answer is 253. 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 = 253

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

17² - 6² = 253

17² is 289 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 253?" is 289 and 36 as illustrated below:

289 - 36 = 253

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 253. Below we list alternate solutions if available.

16129 - 15876 = 253

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