What 2 square numbers subtract to make 4537?

What two square numbers subtract to make 4537? In other words, when you subtract one square number from another square number, the answer is 4537. 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 = 4537

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

181² - 168² = 4537

181² is 32761 and 168² is 28224, therefore the answer to the question "What 2 square numbers subtract to make 4537?" is 32761 and 28224 as illustrated below:

32761 - 28224 = 4537

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 4537. Below we list alternate solutions if available.

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