What 2 square numbers subtract to make 5679?

What two square numbers subtract to make 5679? In other words, when you subtract one square number from another square number, the answer is 5679. 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 = 5679

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

320² - 311² = 5679

320² is 102400 and 311² is 96721, therefore the answer to the question "What 2 square numbers subtract to make 5679?" is 102400 and 96721 as illustrated below:

102400 - 96721 = 5679

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 5679. Below we list alternate solutions if available.

898704 - 893025 = 5679

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