What 2 square numbers subtract to make 4540?

What two square numbers subtract to make 4540? In other words, when you subtract one square number from another square number, the answer is 4540. 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 = 4540

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

232² - 222² = 4540

232² is 53824 and 222² is 49284, therefore the answer to the question "What 2 square numbers subtract to make 4540?" is 53824 and 49284 as illustrated below:

53824 - 49284 = 4540

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 4540. Below we list alternate solutions if available.

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