The square root of 3  is represented using the square root or the radical symbol “√”, and it is written as √3. The value of √3 is approximately equal to 1.732. This value is widely used in mathematics. Since root 3 is an irrational number, which cannot be represented in the form of a fraction. It means that it has an infinite number of decimals. Here, we are going to have a look at the value of root and the long division method to find the value of root 3.

Square Root of 3 Value

The square root of 3 is represented as √3 or 3^1/2. The numerical value of root 3 is given as follows:

√3 = 1.732050807568877293527446341505872366….. 

To make the calculation easier, the value of root 3 is truncated as 1.732. 

How to Find the Square Root of 3?

Generally, before finding the value for the square root of a number, it is necessary to check whether the given number is a perfect square or not. Because we can easily find the square root values for perfect squares. But, for finding the square root value for non- perfect squares, it is quite difficult. So, we use the long division method to find the value of the square root of 3.

Square Root of 3 by Long Division Method

Here, we use the long division method to obtain the value of the square root of 3.

Thus, the value of the square root of 3 is 1.732.

These are just the basics. There are even more complex problems to wrap your mind around. You could learn how to solve these problems and more, easily through BYJU’S – The Learning App. It explains the process in detail using illustrations and interesting examples. It also provides tips and tricks that make you think smarter.