What 2 square numbers subtract to make 5260?

What two square numbers subtract to make 5260? In other words, when you subtract one square number from another square number, the answer is 5260. 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 = 5260

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

268² - 258² = 5260

268² is 71824 and 258² is 66564, therefore the answer to the question "What 2 square numbers subtract to make 5260?" is 71824 and 66564 as illustrated below:

71824 - 66564 = 5260

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 5260. Below we list alternate solutions if available.

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