What 2 square numbers subtract to make 6629?

What two square numbers subtract to make 6629? In other words, when you subtract one square number from another square number, the answer is 6629. 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 = 6629

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

477² - 470² = 6629

477² is 227529 and 470² is 220900, therefore the answer to the question "What 2 square numbers subtract to make 6629?" is 227529 and 220900 as illustrated below:

227529 - 220900 = 6629

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 6629. Below we list alternate solutions if available.

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