What 2 square numbers subtract to make 1213?

What two square numbers subtract to make 1213? In other words, when you subtract one square number from another square number, the answer is 1213. 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 = 1213

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

607² - 606² = 1213

607² is 368449 and 606² is 367236, therefore the answer to the question "What 2 square numbers subtract to make 1213?" is 368449 and 367236 as illustrated below:

368449 - 367236 = 1213

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 1213. Below we list alternate solutions if available.

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