What 2 square numbers subtract to make 5064?

What two square numbers subtract to make 5064? In other words, when you subtract one square number from another square number, the answer is 5064. 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 = 5064

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

217² - 205² = 5064

217² is 47089 and 205² is 42025, therefore the answer to the question "What 2 square numbers subtract to make 5064?" is 47089 and 42025 as illustrated below:

47089 - 42025 = 5064

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 5064. Below we list alternate solutions if available.

180625 - 175561 = 5064
403225 - 398161 = 5064

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