What 2 square numbers subtract to make 7368?

What two square numbers subtract to make 7368? In other words, when you subtract one square number from another square number, the answer is 7368. 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 = 7368

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

313² - 301² = 7368

313² is 97969 and 301² is 90601, therefore the answer to the question "What 2 square numbers subtract to make 7368?" is 97969 and 90601 as illustrated below:

97969 - 90601 = 7368

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 7368. Below we list alternate solutions if available.

380689 - 373321 = 7368
851929 - 844561 = 7368

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What 2 square numbers subtract to make 7369?
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