What 2 square numbers subtract to make 8735?

What two square numbers subtract to make 8735? In other words, when you subtract one square number from another square number, the answer is 8735. 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 = 8735

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

876² - 871² = 8735

876² is 767376 and 871² is 758641, therefore the answer to the question "What 2 square numbers subtract to make 8735?" is 767376 and 758641 as illustrated below:

767376 - 758641 = 8735

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 8735. Below we list alternate solutions if available.

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