What 2 square numbers subtract to make 3715?

What two square numbers subtract to make 3715? In other words, when you subtract one square number from another square number, the answer is 3715. 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 = 3715

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

374² - 369² = 3715

374² is 139876 and 369² is 136161, therefore the answer to the question "What 2 square numbers subtract to make 3715?" is 139876 and 136161 as illustrated below:

139876 - 136161 = 3715

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 3715. Below we list alternate solutions if available.

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