What 2 square numbers subtract to make 5397?

What two square numbers subtract to make 5397? In other words, when you subtract one square number from another square number, the answer is 5397. 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 = 5397

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

139² - 118² = 5397

139² is 19321 and 118² is 13924, therefore the answer to the question "What 2 square numbers subtract to make 5397?" is 19321 and 13924 as illustrated below:

19321 - 13924 = 5397

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 5397. Below we list alternate solutions if available.

151321 - 145924 = 5397
811801 - 806404 = 5397

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