What 2 square numbers subtract to make 8532?

What two square numbers subtract to make 8532? In other words, when you subtract one square number from another square number, the answer is 8532. 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 = 8532

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

106² - 52² = 8532

106² is 11236 and 52² is 2704, therefore the answer to the question "What 2 square numbers subtract to make 8532?" is 11236 and 2704 as illustrated below:

11236 - 2704 = 8532

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 8532. Below we list alternate solutions if available.

60516 - 51984 = 8532
509796 - 501264 = 8532

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