What 2 square numbers subtract to make 8144?

What two square numbers subtract to make 8144? In other words, when you subtract one square number from another square number, the answer is 8144. 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 = 8144

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

513² - 505² = 8144

513² is 263169 and 505² is 255025, therefore the answer to the question "What 2 square numbers subtract to make 8144?" is 263169 and 255025 as illustrated below:

263169 - 255025 = 8144

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 8144. Below we list alternate solutions if available.

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