What 2 square numbers subtract to make 5325?

What two square numbers subtract to make 5325? In other words, when you subtract one square number from another square number, the answer is 5325. 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 = 5325

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

73² - 2² = 5325

73² is 5329 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 5325?" is 5329 and 4 as illustrated below:

5329 - 4 = 5325

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 5325. Below we list alternate solutions if available.

14161 - 8836 = 5325
34225 - 28900 = 5325
286225 - 280900 = 5325

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