What 2 square numbers subtract to make 2395?

What two square numbers subtract to make 2395? In other words, when you subtract one square number from another square number, the answer is 2395. 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 = 2395

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

242² - 237² = 2395

242² is 58564 and 237² is 56169, therefore the answer to the question "What 2 square numbers subtract to make 2395?" is 58564 and 56169 as illustrated below:

58564 - 56169 = 2395

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 2395. Below we list alternate solutions if available.

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