What 2 square numbers subtract to make 4524?

What two square numbers subtract to make 4524? In other words, when you subtract one square number from another square number, the answer is 4524. 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 = 4524

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

68² - 10² = 4524

68² is 4624 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 4524?" is 4624 and 100 as illustrated below:

4624 - 100 = 4524

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 4524. Below we list alternate solutions if available.

10000 - 5476 = 4524
144400 - 139876 = 4524

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