What 2 square numbers subtract to make 3768?

What two square numbers subtract to make 3768? In other words, when you subtract one square number from another square number, the answer is 3768. 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 = 3768

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

163² - 151² = 3768

163² is 26569 and 151² is 22801, therefore the answer to the question "What 2 square numbers subtract to make 3768?" is 26569 and 22801 as illustrated below:

26569 - 22801 = 3768

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 3768. Below we list alternate solutions if available.

100489 - 96721 = 3768
223729 - 219961 = 3768
889249 - 885481 = 3768

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