What 2 square numbers subtract to make 4095?

What two square numbers subtract to make 4095? In other words, when you subtract one square number from another square number, the answer is 4095. 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 = 4095

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

64² - 1² = 4095

64² is 4096 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 4095?" is 4096 and 1 as illustrated below:

4096 - 1 = 4095

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 4095. Below we list alternate solutions if available.

4624 - 529 = 4095
5184 - 1089 = 4095
5776 - 1681 = 4095

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