What 2 square numbers subtract to make 4077?

What two square numbers subtract to make 4077? In other words, when you subtract one square number from another square number, the answer is 4077. 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 = 4077

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

89² - 62² = 4077

89² is 7921 and 62² is 3844, therefore the answer to the question "What 2 square numbers subtract to make 4077?" is 7921 and 3844 as illustrated below:

7921 - 3844 = 4077

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 4077. Below we list alternate solutions if available.

53361 - 49284 = 4077
463761 - 459684 = 4077

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