What 2 square numbers subtract to make 1167?

What two square numbers subtract to make 1167? In other words, when you subtract one square number from another square number, the answer is 1167. 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 = 1167

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

196² - 193² = 1167

196² is 38416 and 193² is 37249, therefore the answer to the question "What 2 square numbers subtract to make 1167?" is 38416 and 37249 as illustrated below:

38416 - 37249 = 1167

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 1167. Below we list alternate solutions if available.

341056 - 339889 = 1167

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