What 2 square numbers subtract to make 1197?

What two square numbers subtract to make 1197? In other words, when you subtract one square number from another square number, the answer is 1197. 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 = 1197

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

39² - 18² = 1197

39² is 1521 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 1197?" is 1521 and 324 as illustrated below:

1521 - 324 = 1197

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 1197. Below we list alternate solutions if available.

1681 - 484 = 1197
5041 - 3844 = 1197
7921 - 6724 = 1197

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