What 2 square numbers subtract to make 3653?

What two square numbers subtract to make 3653? In other words, when you subtract one square number from another square number, the answer is 3653. 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 = 3653

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

147² - 134² = 3653

147² is 21609 and 134² is 17956, therefore the answer to the question "What 2 square numbers subtract to make 3653?" is 21609 and 17956 as illustrated below:

21609 - 17956 = 3653

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 3653. Below we list alternate solutions if available.

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