What 2 square numbers subtract to make 7612?

What two square numbers subtract to make 7612? In other words, when you subtract one square number from another square number, the answer is 7612. 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 = 7612

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

184² - 162² = 7612

184² is 33856 and 162² is 26244, therefore the answer to the question "What 2 square numbers subtract to make 7612?" is 33856 and 26244 as illustrated below:

33856 - 26244 = 7612

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 7612. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7613?
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