What 2 square numbers subtract to make 456?

What two square numbers subtract to make 456? In other words, when you subtract one square number from another square number, the answer is 456. 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 = 456

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

25² - 13² = 456

25² is 625 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 456?" is 625 and 169 as illustrated below:

625 - 169 = 456

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 456. Below we list alternate solutions if available.

1681 - 1225 = 456
3481 - 3025 = 456
13225 - 12769 = 456

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