What 2 square numbers subtract to make 461?

What two square numbers subtract to make 461? In other words, when you subtract one square number from another square number, the answer is 461. 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 = 461

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

231² - 230² = 461

231² is 53361 and 230² is 52900, therefore the answer to the question "What 2 square numbers subtract to make 461?" is 53361 and 52900 as illustrated below:

53361 - 52900 = 461

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 461. 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 462?
Go here for the next problem on our list.