What 2 square numbers subtract to make 2353?

What two square numbers subtract to make 2353? In other words, when you subtract one square number from another square number, the answer is 2353. 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 = 2353

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

97² - 84² = 2353

97² is 9409 and 84² is 7056, therefore the answer to the question "What 2 square numbers subtract to make 2353?" is 9409 and 7056 as illustrated below:

9409 - 7056 = 2353

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 2353. Below we list alternate solutions if available.

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