What 2 square numbers subtract to make 5604?

What two square numbers subtract to make 5604? In other words, when you subtract one square number from another square number, the answer is 5604. 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 = 5604

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

470² - 464² = 5604

470² is 220900 and 464² is 215296, therefore the answer to the question "What 2 square numbers subtract to make 5604?" is 220900 and 215296 as illustrated below:

220900 - 215296 = 5604

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 5604. Below we list alternate solutions if available.

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