What 2 square numbers subtract to make 8675?

What two square numbers subtract to make 8675? In other words, when you subtract one square number from another square number, the answer is 8675. 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 = 8675

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

186² - 161² = 8675

186² is 34596 and 161² is 25921, therefore the answer to the question "What 2 square numbers subtract to make 8675?" is 34596 and 25921 as illustrated below:

34596 - 25921 = 8675

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 8675. Below we list alternate solutions if available.

756900 - 748225 = 8675

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