What 2 square numbers subtract to make 3955?

What two square numbers subtract to make 3955? In other words, when you subtract one square number from another square number, the answer is 3955. 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 = 3955

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

74² - 39² = 3955

74² is 5476 and 39² is 1521, therefore the answer to the question "What 2 square numbers subtract to make 3955?" is 5476 and 1521 as illustrated below:

5476 - 1521 = 3955

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 3955. Below we list alternate solutions if available.

81796 - 77841 = 3955
158404 - 154449 = 3955

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