What 2 square numbers subtract to make 5489?

What two square numbers subtract to make 5489? In other words, when you subtract one square number from another square number, the answer is 5489. 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 = 5489

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

255² - 244² = 5489

255² is 65025 and 244² is 59536, therefore the answer to the question "What 2 square numbers subtract to make 5489?" is 65025 and 59536 as illustrated below:

65025 - 59536 = 5489

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 5489. Below we list alternate solutions if available.

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