What 2 square numbers subtract to make 2901?

What two square numbers subtract to make 2901? In other words, when you subtract one square number from another square number, the answer is 2901. 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 = 2901

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

485² - 482² = 2901

485² is 235225 and 482² is 232324, therefore the answer to the question "What 2 square numbers subtract to make 2901?" is 235225 and 232324 as illustrated below:

235225 - 232324 = 2901

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 2901. Below we list alternate solutions if available.

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