What 2 square numbers subtract to make 7792?

What two square numbers subtract to make 7792? In other words, when you subtract one square number from another square number, the answer is 7792. 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 = 7792

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

491² - 483² = 7792

491² is 241081 and 483² is 233289, therefore the answer to the question "What 2 square numbers subtract to make 7792?" is 241081 and 233289 as illustrated below:

241081 - 233289 = 7792

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 7792. Below we list alternate solutions if available.

952576 - 944784 = 7792

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