What 2 square numbers subtract to make 457?

What two square numbers subtract to make 457? In other words, when you subtract one square number from another square number, the answer is 457. 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 = 457

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

229² - 228² = 457

229² is 52441 and 228² is 51984, therefore the answer to the question "What 2 square numbers subtract to make 457?" is 52441 and 51984 as illustrated below:

52441 - 51984 = 457

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 457. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 458?
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