What 2 square numbers subtract to make 4548?

What two square numbers subtract to make 4548? In other words, when you subtract one square number from another square number, the answer is 4548. 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 = 4548

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

382² - 376² = 4548

382² is 145924 and 376² is 141376, therefore the answer to the question "What 2 square numbers subtract to make 4548?" is 145924 and 141376 as illustrated below:

145924 - 141376 = 4548

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 4548. Below we list alternate solutions if available.

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