What 2 square numbers subtract to make 3464?

What two square numbers subtract to make 3464? In other words, when you subtract one square number from another square number, the answer is 3464. 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 = 3464

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

435² - 431² = 3464

435² is 189225 and 431² is 185761, therefore the answer to the question "What 2 square numbers subtract to make 3464?" is 189225 and 185761 as illustrated below:

189225 - 185761 = 3464

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 3464. Below we list alternate solutions if available.

751689 - 748225 = 3464

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