What 2 square numbers subtract to make 5896?

What two square numbers subtract to make 5896? In other words, when you subtract one square number from another square number, the answer is 5896. 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 = 5896

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

89² - 45² = 5896

89² is 7921 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 5896?" is 7921 and 2025 as illustrated below:

7921 - 2025 = 5896

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 5896. Below we list alternate solutions if available.

21025 - 15129 = 5896
546121 - 540225 = 5896

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