What 2 square numbers subtract to make 4445?

What two square numbers subtract to make 4445? In other words, when you subtract one square number from another square number, the answer is 4445. 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 = 4445

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

81² - 46² = 4445

81² is 6561 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 4445?" is 6561 and 2116 as illustrated below:

6561 - 2116 = 4445

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 4445. Below we list alternate solutions if available.

103041 - 98596 = 4445
199809 - 195364 = 4445

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