What 2 square numbers subtract to make 4064?

What two square numbers subtract to make 4064? In other words, when you subtract one square number from another square number, the answer is 4064. 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 = 4064

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

135² - 119² = 4064

135² is 18225 and 119² is 14161, therefore the answer to the question "What 2 square numbers subtract to make 4064?" is 18225 and 14161 as illustrated below:

18225 - 14161 = 4064

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 4064. Below we list alternate solutions if available.

66564 - 62500 = 4064
260100 - 256036 = 4064

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