What 2 square numbers subtract to make 5976?

What two square numbers subtract to make 5976? In other words, when you subtract one square number from another square number, the answer is 5976. 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 = 5976

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

101² - 65² = 5976

101² is 10201 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 5976?" is 10201 and 4225 as illustrated below:

10201 - 4225 = 5976

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 5976. Below we list alternate solutions if available.

30625 - 24649 = 5976
65025 - 59049 = 5976
251001 - 245025 = 5976

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