What 2 square numbers subtract to make 7769?

What two square numbers subtract to make 7769? In other words, when you subtract one square number from another square number, the answer is 7769. 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 = 7769

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

237² - 220² = 7769

237² is 56169 and 220² is 48400, therefore the answer to the question "What 2 square numbers subtract to make 7769?" is 56169 and 48400 as illustrated below:

56169 - 48400 = 7769

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 7769. Below we list alternate solutions if available.

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