What 2 square numbers subtract to make 5967?

What two square numbers subtract to make 5967? In other words, when you subtract one square number from another square number, the answer is 5967. 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 = 5967

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

84² - 33² = 5967

84² is 7056 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 5967?" is 7056 and 1089 as illustrated below:

7056 - 1089 = 5967

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 5967. Below we list alternate solutions if available.

9216 - 3249 = 5967
15376 - 9409 = 5967
33856 - 27889 = 5967

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