What 2 square numbers subtract to make 628?

What two square numbers subtract to make 628? In other words, when you subtract one square number from another square number, the answer is 628. 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 = 628

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

158² - 156² = 628

158² is 24964 and 156² is 24336, therefore the answer to the question "What 2 square numbers subtract to make 628?" is 24964 and 24336 as illustrated below:

24964 - 24336 = 628

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 628. Below we list alternate solutions if available.

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