What 2 square numbers subtract to make 5240?

What two square numbers subtract to make 5240? In other words, when you subtract one square number from another square number, the answer is 5240. 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 = 5240

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

141² - 121² = 5240

141² is 19881 and 121² is 14641, therefore the answer to the question "What 2 square numbers subtract to make 5240?" is 19881 and 14641 as illustrated below:

19881 - 14641 = 5240

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 5240. Below we list alternate solutions if available.

71289 - 66049 = 5240
431649 - 426409 = 5240

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