What 2 square numbers subtract to make 5769?

What two square numbers subtract to make 5769? In other words, when you subtract one square number from another square number, the answer is 5769. 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 = 5769

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

325² - 316² = 5769

325² is 105625 and 316² is 99856, therefore the answer to the question "What 2 square numbers subtract to make 5769?" is 105625 and 99856 as illustrated below:

105625 - 99856 = 5769

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 5769. Below we list alternate solutions if available.

927369 - 921600 = 5769

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