What 2 square numbers subtract to make 2307?

What two square numbers subtract to make 2307? In other words, when you subtract one square number from another square number, the answer is 2307. 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 = 2307

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

386² - 383² = 2307

386² is 148996 and 383² is 146689, therefore the answer to the question "What 2 square numbers subtract to make 2307?" is 148996 and 146689 as illustrated below:

148996 - 146689 = 2307

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 2307. Below we list alternate solutions if available.

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