Square Root 1 to 100The square root of a number is defined as the value that gives the number when multiplied by itself. The symbol utilized to represent the square root is denoted by √. This symbol is termed a root symbol. Determining the square root is straightforward when the number is a perfect square. However, the division method is utilized to find its square root when the number is not a perfect square. Assume n as a positive number √n.n = √(n)^{2} = n Features of the Square RootSome of the significant properties of the square roots are as follows:
Methods to Find the Square RootTo find the square root of the given value, we need to determine whether the provided number is an imperfect or a perfect square. Suppose the number provided is 144, 169, 225. We can factorize such value with the factorization method. If we are given an imperfect square number such as 2, 3, or 5, then we have to take the long division method to determine the square root. Given techniques are used to find the square root of the number:
1. Long Division MethodFinding the square root of the given imperfect number is a bit complex. It is lengthy and time taking. Let's see one example. Thus, the square root of 24 is 4.898978. 2. Estimation MethodIt is sometimes also considered an s method and determines the square root by judging the value. The square root of 4 is two, and the square root of 9 is 3. To find the square root of 6, we can guess the value comes between 2 and 3. But we need to verify which value is closer to the , i.e., 2 or 3. Let us calculate the square of 2.44 and 2.8.
We can observe that the square of 2.44 is much closer to the square root of 6. 3. Prime Factorisation MethodIt is one of the simple methods to compute the square root of a given number. Let us understand with some examples: Number: 256 Primer factorization of the number = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 Square root of √256 = 2 x 2 x 2 x 2 = 16 Number: 169 Prime Factorisation of the given Number = 13 x 13 Square root of √169 = 13 Number = 576 Prime factorization of the given number = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 Square Root of √576 = 2 x 2 x 2 x 3 = 24 4. Repeated Subtraction MethodAccording to this method, if the provided number is a perfect square, we can figure out the square root by the following steps.
We learn better from the example; let's find the square root of 16 16  1 = 15 15  3 = 12 12  5 = 7 7  7 =0 The number of subtraction done here is 4 times; therefore, the square root will be 4. Square Root Table 1 to 100
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