What 2 square numbers subtract to make 8533?

What two square numbers subtract to make 8533? In other words, when you subtract one square number from another square number, the answer is 8533. 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 = 8533

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

107² - 54² = 8533

107² is 11449 and 54² is 2916, therefore the answer to the question "What 2 square numbers subtract to make 8533?" is 11449 and 2916 as illustrated below:

11449 - 2916 = 8533

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 8533. Below we list alternate solutions if available.

38809 - 30276 = 8533
375769 - 367236 = 8533

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