For example, the square root of 25 is 5 because 5 x 5 = 25. The symbol for square root is “”. In this article, we will learn how to find square roots without using calculators or computers.

First, let’s look at some perfect squares and their corresponding square roots:
– 16 = 4 (square of 4)
– 25 = 5 (square of 5)
– 36 = 6 (square of 6)
– 49 = 7 (square of 7)
– 64 = 8 (square of 8)
– 81 = 9 (square of 9)
– 100 = 10 (square of 10)

To find the square root of a perfect square, we can simply look up its value in our list. For example, if we want to find the square root of 64, we know that it is equal to 8 because 8 x 8 = 64. However, what do we do when we have an imperfect square?

To find the square root of an imperfect square, we can use a method called “long division”. This involves dividing the number by its largest factor that is also a perfect square (i.e., a power of 2). For example:
– To find the square root of 100, we divide it by 10 (which is equal to 10 x 10) and get 10 as our answer. This is because 10 x 10 = 100.
– To find the square root of 36, we divide it by 6 (which is equal to 6 x 6) and get 6 as our answer. This is because 6 x 6 = 36.

Another method for finding square roots without a calculator or computer is called “estimation”. This involves guessing the value of the square root based on its position in relation to other perfect squares. For example:
– To find the square root of 10, we can estimate that it lies between 3 (which is equal to 9) and 4 (which is equal to 16). By dividing 10 by 3 and then averaging our result with 4, we get an answer of approximately 3.5.
– To find the square root of 28, we can estimate that it lies between 5 (which is equal to 25) and 6 (which is equal to 36). By dividing 28 by 5 and then averaging our result with 6, we get an answer of approximately 5.3.