What 2 square numbers subtract to make 7568?

What two square numbers subtract to make 7568? In other words, when you subtract one square number from another square number, the answer is 7568. 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 = 7568

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

87² - 1² = 7568

87² is 7569 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 7568?" is 7569 and 1 as illustrated below:

7569 - 1 = 7568

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 7568. Below we list alternate solutions if available.

11664 - 4096 = 7568
33489 - 25921 = 7568
227529 - 219961 = 7568

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