What 2 square numbers subtract to make 261?

What two square numbers subtract to make 261? In other words, when you subtract one square number from another square number, the answer is 261. 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 = 261

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

19² - 10² = 261

19² is 361 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 261?" is 361 and 100 as illustrated below:

361 - 100 = 261

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 261. Below we list alternate solutions if available.

2025 - 1764 = 261
17161 - 16900 = 261

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