What 2 square numbers subtract to make 3633?

What two square numbers subtract to make 3633? In other words, when you subtract one square number from another square number, the answer is 3633. 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 = 3633

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

97² - 76² = 3633

97² is 9409 and 76² is 5776, therefore the answer to the question "What 2 square numbers subtract to make 3633?" is 9409 and 5776 as illustrated below:

9409 - 5776 = 3633

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 3633. Below we list alternate solutions if available.

69169 - 65536 = 3633
368449 - 364816 = 3633

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