What 2 square numbers subtract to make 3656?

What two square numbers subtract to make 3656? In other words, when you subtract one square number from another square number, the answer is 3656. 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 = 3656

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

459² - 455² = 3656

459² is 210681 and 455² is 207025, therefore the answer to the question "What 2 square numbers subtract to make 3656?" is 210681 and 207025 as illustrated below:

210681 - 207025 = 3656

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 3656. Below we list alternate solutions if available.

837225 - 833569 = 3656

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