What 2 square numbers subtract to make 1539?

What two square numbers subtract to make 1539? In other words, when you subtract one square number from another square number, the answer is 1539. 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 = 1539

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

42² - 15² = 1539

42² is 1764 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 1539?" is 1764 and 225 as illustrated below:

1764 - 225 = 1539

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 1539. Below we list alternate solutions if available.

2500 - 961 = 1539
8100 - 6561 = 1539
66564 - 65025 = 1539

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