What 2 square numbers subtract to make 5225?

What two square numbers subtract to make 5225? In other words, when you subtract one square number from another square number, the answer is 5225. 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 = 5225

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

75² - 20² = 5225

75² is 5625 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 5225?" is 5625 and 400 as illustrated below:

5625 - 400 = 5225

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 5225. Below we list alternate solutions if available.

13689 - 8464 = 5225
21609 - 16384 = 5225
59049 - 53824 = 5225

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