What 2 square numbers subtract to make 5629?

What two square numbers subtract to make 5629? In other words, when you subtract one square number from another square number, the answer is 5629. 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 = 5629

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

223² - 210² = 5629

223² is 49729 and 210² is 44100, therefore the answer to the question "What 2 square numbers subtract to make 5629?" is 49729 and 44100 as illustrated below:

49729 - 44100 = 5629

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 5629. Below we list alternate solutions if available.

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