What 2 square numbers subtract to make 445?

What two square numbers subtract to make 445? In other words, when you subtract one square number from another square number, the answer is 445. 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 = 445

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

47² - 42² = 445

47² is 2209 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 445?" is 2209 and 1764 as illustrated below:

2209 - 1764 = 445

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 445. Below we list alternate solutions if available.

49729 - 49284 = 445

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