What 2 square numbers subtract to make 7021?

What two square numbers subtract to make 7021? In other words, when you subtract one square number from another square number, the answer is 7021. 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 = 7021

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

89² - 30² = 7021

89² is 7921 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 7021?" is 7921 and 900 as illustrated below:

7921 - 900 = 7021

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 7021. Below we list alternate solutions if available.

46225 - 39204 = 7021
255025 - 248004 = 7021

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