What 2 square numbers subtract to make 5652?

What two square numbers subtract to make 5652? In other words, when you subtract one square number from another square number, the answer is 5652. 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 = 5652

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

166² - 148² = 5652

166² is 27556 and 148² is 21904, therefore the answer to the question "What 2 square numbers subtract to make 5652?" is 27556 and 21904 as illustrated below:

27556 - 21904 = 5652

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 5652. Below we list alternate solutions if available.

224676 - 219024 = 5652

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