What 2 square numbers subtract to make 2535?

What two square numbers subtract to make 2535? In other words, when you subtract one square number from another square number, the answer is 2535. 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 = 2535

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

52² - 13² = 2535

52² is 2704 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 2535?" is 2704 and 169 as illustrated below:

2704 - 169 = 2535

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 2535. Below we list alternate solutions if available.

8464 - 5929 = 2535
10816 - 8281 = 2535
65536 - 63001 = 2535

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