What 2 square numbers subtract to make 7771?

What two square numbers subtract to make 7771? In other words, when you subtract one square number from another square number, the answer is 7771. 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 = 7771

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

214² - 195² = 7771

214² is 45796 and 195² is 38025, therefore the answer to the question "What 2 square numbers subtract to make 7771?" is 45796 and 38025 as illustrated below:

45796 - 38025 = 7771

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 7771. Below we list alternate solutions if available.

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