What 2 square numbers subtract to make 845?

What two square numbers subtract to make 845? In other words, when you subtract one square number from another square number, the answer is 845. 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 = 845

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

39² - 26² = 845

39² is 1521 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 845?" is 1521 and 676 as illustrated below:

1521 - 676 = 845

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 845. Below we list alternate solutions if available.

7569 - 6724 = 845
178929 - 178084 = 845

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