What 2 square numbers subtract to make 288?

What two square numbers subtract to make 288? In other words, when you subtract one square number from another square number, the answer is 288. 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 = 288

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

17² - 1² = 288

17² is 289 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 288?" is 289 and 1 as illustrated below:

289 - 1 = 288

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 288. Below we list alternate solutions if available.

324 - 36 = 288
484 - 196 = 288
729 - 441 = 288

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