What 2 square numbers subtract to make 8525?

What two square numbers subtract to make 8525? In other words, when you subtract one square number from another square number, the answer is 8525. 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 = 8525

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

105² - 50² = 8525

105² is 11025 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 8525?" is 11025 and 2500 as illustrated below:

11025 - 2500 = 8525

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 8525. Below we list alternate solutions if available.

23409 - 14884 = 8525
33489 - 24964 = 8525
154449 - 145924 = 8525

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