What 2 square numbers subtract to make 2629?

What two square numbers subtract to make 2629? In other words, when you subtract one square number from another square number, the answer is 2629. 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 = 2629

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

125² - 114² = 2629

125² is 15625 and 114² is 12996, therefore the answer to the question "What 2 square numbers subtract to make 2629?" is 15625 and 12996 as illustrated below:

15625 - 12996 = 2629

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 2629. Below we list alternate solutions if available.

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