What 2 square numbers subtract to make 5496?

What two square numbers subtract to make 5496? In other words, when you subtract one square number from another square number, the answer is 5496. 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 = 5496

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

235² - 223² = 5496

235² is 55225 and 223² is 49729, therefore the answer to the question "What 2 square numbers subtract to make 5496?" is 55225 and 49729 as illustrated below:

55225 - 49729 = 5496

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 5496. Below we list alternate solutions if available.

212521 - 207025 = 5496
474721 - 469225 = 5496

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