What 2 square numbers subtract to make 4736?

What two square numbers subtract to make 4736? In other words, when you subtract one square number from another square number, the answer is 4736. 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 = 4736

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

69² - 5² = 4736

69² is 4761 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 4736?" is 4761 and 25 as illustrated below:

4761 - 25 = 4736

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 4736. Below we list alternate solutions if available.

8100 - 3364 = 4736
24336 - 19600 = 4736
90000 - 85264 = 4736

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What 2 square numbers subtract to make 4737?
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