What 2 square numbers subtract to make 3064?

What two square numbers subtract to make 3064? In other words, when you subtract one square number from another square number, the answer is 3064. 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 = 3064

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

385² - 381² = 3064

385² is 148225 and 381² is 145161, therefore the answer to the question "What 2 square numbers subtract to make 3064?" is 148225 and 145161 as illustrated below:

148225 - 145161 = 3064

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 3064. Below we list alternate solutions if available.

588289 - 585225 = 3064

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