What 2 square numbers subtract to make 8445?

What two square numbers subtract to make 8445? In other words, when you subtract one square number from another square number, the answer is 8445. 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 = 8445

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

289² - 274² = 8445

289² is 83521 and 274² is 75076, therefore the answer to the question "What 2 square numbers subtract to make 8445?" is 83521 and 75076 as illustrated below:

83521 - 75076 = 8445

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 8445. Below we list alternate solutions if available.

717409 - 708964 = 8445

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