What 2 square numbers subtract to make 8952?

What two square numbers subtract to make 8952? In other words, when you subtract one square number from another square number, the answer is 8952. 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 = 8952

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

379² - 367² = 8952

379² is 143641 and 367² is 134689, therefore the answer to the question "What 2 square numbers subtract to make 8952?" is 143641 and 134689 as illustrated below:

143641 - 134689 = 8952

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 8952. Below we list alternate solutions if available.

561001 - 552049 = 8952

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