What 2 square numbers subtract to make 7032?

What two square numbers subtract to make 7032? In other words, when you subtract one square number from another square number, the answer is 7032. 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 = 7032

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

299² - 287² = 7032

299² is 89401 and 287² is 82369, therefore the answer to the question "What 2 square numbers subtract to make 7032?" is 89401 and 82369 as illustrated below:

89401 - 82369 = 7032

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 7032. Below we list alternate solutions if available.

346921 - 339889 = 7032
776161 - 769129 = 7032

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