What 2 square numbers subtract to make 8240?

What two square numbers subtract to make 8240? In other words, when you subtract one square number from another square number, the answer is 8240. 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 = 8240

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

123² - 83² = 8240

123² is 15129 and 83² is 6889, therefore the answer to the question "What 2 square numbers subtract to make 8240?" is 15129 and 6889 as illustrated below:

15129 - 6889 = 8240

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 8240. Below we list alternate solutions if available.

46656 - 38416 = 8240
173889 - 165649 = 8240
269361 - 261121 = 8240

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