What 2 square numbers subtract to make 5552?

What two square numbers subtract to make 5552? In other words, when you subtract one square number from another square number, the answer is 5552. 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 = 5552

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

351² - 343² = 5552

351² is 123201 and 343² is 117649, therefore the answer to the question "What 2 square numbers subtract to make 5552?" is 123201 and 117649 as illustrated below:

123201 - 117649 = 5552

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 5552. Below we list alternate solutions if available.

484416 - 478864 = 5552

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