Memorize square numbers up to 200

That's why you need the square numbers

• A square number, like any other number, is actually just the product of two others multiplied together Counting. However, square numbers have the peculiarity that the two factors that are taken together are identical.
• So actually every number would be a square number. The root of 200 is something like 14.1421...; Taken with itself, this would also be a square number. But that's not how it is. Square numbers are only those whose root is a natural number, i.e. 0, 1, 2, 3... It follows that a square number must always be positive.
• It is especially useful to know the square numbers when it comes to root to pull. For example, if you want to extract the root of 128, you can convert it to a root of 64x2. 64 is a square number, which means you can pull it out of the root. So the result is eight times the square root of two.
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So you can calculate any square number up to 200

• The list of square numbers is of course infinitely long. In the number range up to 200, their number is still quite manageable: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196.
• If you look at this series of numbers, you will notice something: the steps between the individual square numbers follow a certain pattern. Starting with the one, the difference to the next square number is always two greater than the previous one.


Square numbers up to 25 - informative

At school, you learn the square numbers up to 25 in the lower grades. Either you ...

• As an example: The difference between the numbers 144 and 169 is 25. The difference to the next square number should therefore be 25 + 2, i.e. 27. This is the case because 169 + 27 = 196. With this method, you can also calculate quite high square numbers in your head and with little effort.