What 2 square numbers subtract to make 1492?

What two square numbers subtract to make 1492? In other words, when you subtract one square number from another square number, the answer is 1492. 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 = 1492

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

374² - 372² = 1492

374² is 139876 and 372² is 138384, therefore the answer to the question "What 2 square numbers subtract to make 1492?" is 139876 and 138384 as illustrated below:

139876 - 138384 = 1492

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 1492. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1493?
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