What 2 square numbers subtract to make 1409?

What two square numbers subtract to make 1409? In other words, when you subtract one square number from another square number, the answer is 1409. 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 = 1409

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

705² - 704² = 1409

705² is 497025 and 704² is 495616, therefore the answer to the question "What 2 square numbers subtract to make 1409?" is 497025 and 495616 as illustrated below:

497025 - 495616 = 1409

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 1409. Below we list alternate solutions if available.

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