What 2 square numbers subtract to make 2895?

What two square numbers subtract to make 2895? In other words, when you subtract one square number from another square number, the answer is 2895. 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 = 2895

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

104² - 89² = 2895

104² is 10816 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 2895?" is 10816 and 7921 as illustrated below:

10816 - 7921 = 2895

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 2895. Below we list alternate solutions if available.

85264 - 82369 = 2895
234256 - 231361 = 2895

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