What 2 square numbers subtract to make 4572?

What two square numbers subtract to make 4572? In other words, when you subtract one square number from another square number, the answer is 4572. 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 = 4572

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

136² - 118² = 4572

136² is 18496 and 118² is 13924, therefore the answer to the question "What 2 square numbers subtract to make 4572?" is 18496 and 13924 as illustrated below:

18496 - 13924 = 4572

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 4572. Below we list alternate solutions if available.

147456 - 142884 = 4572

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