Question

solve root 3 step by step​

Answer 1

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, the square root of 4 is ±2, since 22 = 4. But, here 3 is an imperfect square or a non-perfect square. Hence, we cannot use the factorisation method. Instead, we will be using the long division method to find the value of the square root of 3. The actual value of √3 is given below.

Value of root 3, √3 =1.732

What is the value of root 3?

The value of the square root of 3 is 1.73205080757.

What is the approximate value of √3?

The value of √3 can be expressed up to three places of decimal as:

√3 = 1.732

How can we find the value of √3?

To find the value of √3, we have to use long division method, because 3 is a non-perfect square number and its root does not give a natural number; instead, it is a fraction.

How to find the value root of 3?

As it is mentioned above, the easiest way to finding the root value of imperfect square numbers is by using long division.

Since 3 is a non-perfect square number, we will find the value of root 3 using long division method as follows

Answer 2

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.