What 2 square numbers subtract to make 3679?

What two square numbers subtract to make 3679? In other words, when you subtract one square number from another square number, the answer is 3679. 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 = 3679

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

148² - 135² = 3679

148² is 21904 and 135² is 18225, therefore the answer to the question "What 2 square numbers subtract to make 3679?" is 21904 and 18225 as illustrated below:

21904 - 18225 = 3679

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 3679. Below we list alternate solutions if available.

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