What 2 square numbers subtract to make 3032?

What two square numbers subtract to make 3032? In other words, when you subtract one square number from another square number, the answer is 3032. 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 = 3032

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

381² - 377² = 3032

381² is 145161 and 377² is 142129, therefore the answer to the question "What 2 square numbers subtract to make 3032?" is 145161 and 142129 as illustrated below:

145161 - 142129 = 3032

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 3032. Below we list alternate solutions if available.

576081 - 573049 = 3032

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