What 2 square numbers subtract to make 5264?

What two square numbers subtract to make 5264? In other words, when you subtract one square number from another square number, the answer is 5264. 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 = 5264

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

75² - 19² = 5264

75² is 5625 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 5264?" is 5625 and 361 as illustrated below:

5625 - 361 = 5264

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 5264. Below we list alternate solutions if available.

11664 - 6400 = 5264
38025 - 32761 = 5264
110889 - 105625 = 5264

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