What 2 square numbers subtract to make 6252?

What two square numbers subtract to make 6252? In other words, when you subtract one square number from another square number, the answer is 6252. 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 = 6252

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

524² - 518² = 6252

524² is 274576 and 518² is 268324, therefore the answer to the question "What 2 square numbers subtract to make 6252?" is 274576 and 268324 as illustrated below:

274576 - 268324 = 6252

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 6252. Below we list alternate solutions if available.

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