What 2 square numbers subtract to make 624?

What two square numbers subtract to make 624? In other words, when you subtract one square number from another square number, the answer is 624. 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 = 624

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

25² - 1² = 624

25² is 625 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 624?" is 625 and 1 as illustrated below:

625 - 1 = 624

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 624. Below we list alternate solutions if available.

1024 - 400 = 624
1849 - 1225 = 624
3025 - 2401 = 624

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