What 2 square numbers subtract to make 5677?

What two square numbers subtract to make 5677? In other words, when you subtract one square number from another square number, the answer is 5677. 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 = 5677

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

409² - 402² = 5677

409² is 167281 and 402² is 161604, therefore the answer to the question "What 2 square numbers subtract to make 5677?" is 167281 and 161604 as illustrated below:

167281 - 161604 = 5677

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 5677. Below we list alternate solutions if available.

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