What 2 square numbers subtract to make 71?

What two square numbers subtract to make 71? In other words, when you subtract one square number from another square number, the answer is 71. 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 = 71

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

36² - 35² = 71

36² is 1296 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 71?" is 1296 and 1225 as illustrated below:

1296 - 1225 = 71

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 71. Below we list alternate solutions if available.

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