What 2 square numbers subtract to make 6288?

What two square numbers subtract to make 6288? In other words, when you subtract one square number from another square number, the answer is 6288. 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 = 6288

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

143² - 119² = 6288

143² is 20449 and 119² is 14161, therefore the answer to the question "What 2 square numbers subtract to make 6288?" is 20449 and 14161 as illustrated below:

20449 - 14161 = 6288

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 6288. Below we list alternate solutions if available.

71824 - 65536 = 6288
157609 - 151321 = 6288
277729 - 271441 = 6288

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