What 2 square numbers subtract to make 679?

What two square numbers subtract to make 679? In other words, when you subtract one square number from another square number, the answer is 679. 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 = 679

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

52² - 45² = 679

52² is 2704 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 679?" is 2704 and 2025 as illustrated below:

2704 - 2025 = 679

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 679. Below we list alternate solutions if available.

115600 - 114921 = 679

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