What 2 square numbers subtract to make 3704?

What two square numbers subtract to make 3704? In other words, when you subtract one square number from another square number, the answer is 3704. 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 = 3704

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

465² - 461² = 3704

465² is 216225 and 461² is 212521, therefore the answer to the question "What 2 square numbers subtract to make 3704?" is 216225 and 212521 as illustrated below:

216225 - 212521 = 3704

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 3704. Below we list alternate solutions if available.

859329 - 855625 = 3704

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