What 2 square numbers subtract to make 3567?

What two square numbers subtract to make 3567? In other words, when you subtract one square number from another square number, the answer is 3567. 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 = 3567

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

64² - 23² = 3567

64² is 4096 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 3567?" is 4096 and 529 as illustrated below:

4096 - 529 = 3567

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 3567. Below we list alternate solutions if available.

5776 - 2209 = 3567
355216 - 351649 = 3567

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