What 2 square numbers subtract to make 2319?

What two square numbers subtract to make 2319? In other words, when you subtract one square number from another square number, the answer is 2319. 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 = 2319

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

388² - 385² = 2319

388² is 150544 and 385² is 148225, therefore the answer to the question "What 2 square numbers subtract to make 2319?" is 150544 and 148225 as illustrated below:

150544 - 148225 = 2319

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 2319. Below we list alternate solutions if available.

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