What 2 square numbers subtract to make 3591?

What two square numbers subtract to make 3591? In other words, when you subtract one square number from another square number, the answer is 3591. 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 = 3591

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

60² - 3² = 3591

60² is 3600 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 3591?" is 3600 and 9 as illustrated below:

3600 - 9 = 3591

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 3591. Below we list alternate solutions if available.

6400 - 2809 = 3591
9216 - 5625 = 3591
10816 - 7225 = 3591

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