What 2 square numbers subtract to make 5409?

What two square numbers subtract to make 5409? In other words, when you subtract one square number from another square number, the answer is 5409. 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 = 5409

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

305² - 296² = 5409

305² is 93025 and 296² is 87616, therefore the answer to the question "What 2 square numbers subtract to make 5409?" is 93025 and 87616 as illustrated below:

93025 - 87616 = 5409

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 5409. Below we list alternate solutions if available.

815409 - 810000 = 5409

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