What 2 square numbers subtract to make 5624?

What two square numbers subtract to make 5624? In other words, when you subtract one square number from another square number, the answer is 5624. 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 = 5624

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

75² - 1² = 5624

75² is 5625 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 5624?" is 5625 and 1 as illustrated below:

5625 - 1 = 5624

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 5624. Below we list alternate solutions if available.

8649 - 3025 = 5624
497025 - 491401 = 5624

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What 2 square numbers subtract to make 5625?
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