What 2 square numbers subtract to make 5747?

What two square numbers subtract to make 5747? In other words, when you subtract one square number from another square number, the answer is 5747. 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 = 5747

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

414² - 407² = 5747

414² is 171396 and 407² is 165649, therefore the answer to the question "What 2 square numbers subtract to make 5747?" is 171396 and 165649 as illustrated below:

171396 - 165649 = 5747

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 5747. Below we list alternate solutions if available.

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