What 2 square numbers subtract to make 3565?

What two square numbers subtract to make 3565? In other words, when you subtract one square number from another square number, the answer is 3565. 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 = 3565

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

73² - 42² = 3565

73² is 5329 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 3565?" is 5329 and 1764 as illustrated below:

5329 - 1764 = 3565

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 3565. Below we list alternate solutions if available.

7921 - 4356 = 3565
128881 - 125316 = 3565

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