What 2 square numbers subtract to make 1000?

What two square numbers subtract to make 1000? In other words, when you subtract one square number from another square number, the answer is 1000. 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 = 1000

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

35² - 15² = 1000

35² is 1225 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 1000?" is 1225 and 225 as illustrated below:

1225 - 225 = 1000

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 1000. Below we list alternate solutions if available.

3025 - 2025 = 1000
16129 - 15129 = 1000
63001 - 62001 = 1000

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 1001?
Go here for the next problem on our list.