What 2 square numbers subtract to make 8975?

What two square numbers subtract to make 8975? In other words, when you subtract one square number from another square number, the answer is 8975. 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 = 8975

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

192² - 167² = 8975

192² is 36864 and 167² is 27889, therefore the answer to the question "What 2 square numbers subtract to make 8975?" is 36864 and 27889 as illustrated below:

36864 - 27889 = 8975

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 8975. Below we list alternate solutions if available.

810000 - 801025 = 8975

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