What 2 square numbers subtract to make 5328?

What two square numbers subtract to make 5328? In other words, when you subtract one square number from another square number, the answer is 5328. 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 = 5328

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

73² - 1² = 5328

73² is 5329 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 5328?" is 5329 and 1 as illustrated below:

5329 - 1 = 5328

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 5328. Below we list alternate solutions if available.

8464 - 3136 = 5328
15129 - 9801 = 5328
24649 - 19321 = 5328

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What 2 square numbers subtract to make 5329?
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