What 2 square numbers subtract to make 7272?

What two square numbers subtract to make 7272? In other words, when you subtract one square number from another square number, the answer is 7272. 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 = 7272

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

119² - 83² = 7272

119² is 14161 and 83² is 6889, therefore the answer to the question "What 2 square numbers subtract to make 7272?" is 14161 and 6889 as illustrated below:

14161 - 6889 = 7272

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 7272. Below we list alternate solutions if available.

44521 - 37249 = 7272
95481 - 88209 = 7272
370881 - 363609 = 7272

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