What 2 square numbers subtract to make 2536?

What two square numbers subtract to make 2536? In other words, when you subtract one square number from another square number, the answer is 2536. 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 = 2536

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

319² - 315² = 2536

319² is 101761 and 315² is 99225, therefore the answer to the question "What 2 square numbers subtract to make 2536?" is 101761 and 99225 as illustrated below:

101761 - 99225 = 2536

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 2536. Below we list alternate solutions if available.

403225 - 400689 = 2536

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