What 2 square numbers subtract to make 1443?

What two square numbers subtract to make 1443? In other words, when you subtract one square number from another square number, the answer is 1443. 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 = 1443

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

38² - 1² = 1443

38² is 1444 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1443?" is 1444 and 1 as illustrated below:

1444 - 1 = 1443

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 1443. Below we list alternate solutions if available.

3844 - 2401 = 1443
58564 - 57121 = 1443
521284 - 519841 = 1443

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What 2 square numbers subtract to make 1444?
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