What 2 square numbers subtract to make 1696?

What two square numbers subtract to make 1696? In other words, when you subtract one square number from another square number, the answer is 1696. 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 = 1696

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

61² - 45² = 1696

61² is 3721 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 1696?" is 3721 and 2025 as illustrated below:

3721 - 2025 = 1696

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 1696. Below we list alternate solutions if available.

12100 - 10404 = 1696
45796 - 44100 = 1696
180625 - 178929 = 1696

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