What 2 square numbers subtract to make 8336?

What two square numbers subtract to make 8336? In other words, when you subtract one square number from another square number, the answer is 8336. 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 = 8336

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

525² - 517² = 8336

525² is 275625 and 517² is 267289, therefore the answer to the question "What 2 square numbers subtract to make 8336?" is 275625 and 267289 as illustrated below:

275625 - 267289 = 8336

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 8336. Below we list alternate solutions if available.

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