What 2 square numbers subtract to make 5320?

What two square numbers subtract to make 5320? In other words, when you subtract one square number from another square number, the answer is 5320. 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 = 5320

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

73² - 3² = 5320

73² is 5329 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 5320?" is 5329 and 9 as illustrated below:

5329 - 9 = 5320

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 5320. Below we list alternate solutions if available.

7921 - 2601 = 5320
11881 - 6561 = 5320
20449 - 15129 = 5320

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