## How to find square root of root3 step by step with explanation

Question

How to find square root of root3 step by step with explanation

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1 week 2021-11-24T20:45:40+00:00 2 Answers 0 views 0

## Answers ( )

Value of root 3, √3 =1.732

Step-by-step explanation:

The value of root 3 is a positive real number when it is multiplied by itself it gives the number 3. It is not a natural number but a fraction. The square root of 3 is denoted by √3. The square root basically, gives a value which when multiplied by itself gives the original number. Hence, it is the root of the original number.

To find the square root of any real number, without using a calculator, we need to check first if the number under the root is a perfect square or not. If a number is a perfect square then we can easily find its square root using prime factorisation method. For example, square root of 4 is 2, since 22 = 4. But, here 3 is an imperfect square or a non perfect square. Hence, we can use factorisation method instead we will be using long division method to find the value of square root of 3. The actual value of √3 is given below.