What 2 square numbers subtract to make 1193?

What two square numbers subtract to make 1193? In other words, when you subtract one square number from another square number, the answer is 1193. 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 = 1193

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

597² - 596² = 1193

597² is 356409 and 596² is 355216, therefore the answer to the question "What 2 square numbers subtract to make 1193?" is 356409 and 355216 as illustrated below:

356409 - 355216 = 1193

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 1193. Below we list alternate solutions if available.

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