What 2 square numbers subtract to make 409?

What two square numbers subtract to make 409? In other words, when you subtract one square number from another square number, the answer is 409. 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 = 409

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

205² - 204² = 409

205² is 42025 and 204² is 41616, therefore the answer to the question "What 2 square numbers subtract to make 409?" is 42025 and 41616 as illustrated below:

42025 - 41616 = 409

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 409. Below we list alternate solutions if available.

What Two Square Numbers Subtract To Make Calculator
Enter another number here to find what two square numbers subtract to make that number.

What 2 square numbers subtract to make 410?
Go here for the next problem on our list.