What 2 square numbers subtract to make 1191?

What two square numbers subtract to make 1191? In other words, when you subtract one square number from another square number, the answer is 1191. 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 = 1191

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

200² - 197² = 1191

200² is 40000 and 197² is 38809, therefore the answer to the question "What 2 square numbers subtract to make 1191?" is 40000 and 38809 as illustrated below:

40000 - 38809 = 1191

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 1191. Below we list alternate solutions if available.

355216 - 354025 = 1191

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