What 2 square numbers subtract to make 1567?

What two square numbers subtract to make 1567? In other words, when you subtract one square number from another square number, the answer is 1567. 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 = 1567

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

784² - 783² = 1567

784² is 614656 and 783² is 613089, therefore the answer to the question "What 2 square numbers subtract to make 1567?" is 614656 and 613089 as illustrated below:

614656 - 613089 = 1567

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 1567. Below we list alternate solutions if available.

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