Value of Root 3

The value of root 3 is a positive real number when it is multiplied by itself it gives the number 3. A square root is represented by a symbol ‘√’. The square root of 3 is denoted by √3. It’s easy to find the squares of the numbers. You just have to multiply the number against itself. To find the square root of any number, you should know what are squares and how to find the square of any number. If a number is a perfect square number, it is easy to find the square root of a number. If the number is a non-perfect square number, a suitable method to find the root value is the long division method.

√3 =1.732

Also, read:

Root 3 Value in Maths

In Maths, we use to calculate the square root values of many numbers. Some numbers are perfect squares but some are non-perfect. We can calculate the root of perfect squares easily by just factorisation method but to find the root of non-perfect squares, we have to use long division method.  The number 3 is also a non-perfect square. Hence, the value of square root of 3 can be calculated using long division method.

What are Square Numbers?

If we multiply an integer by itself, the product we get is the square of the number.

For example 3 x 3 = 9, so the square of 3 is 9.

Following are a few more examples to see how squares are formed.

Table of Squares of Numbers

Digit Multiply by itself Square
1 1 x 1 1
2 2 x 2 4
3 3 x 3 9
4 4 x 4 16
5 5 x 5 25
6 6 x 6 36
7 7 x 7 49
8 8 x 8 64
9 9 x 9 81
10 10 x 10 100
11 11 x 11 121

 

For Example, if you want to find a square root of 5.

You can say,

  • 25 is a square of 5
  • squaring of 5 is 25
  • 5 squared is 25
  • 25 is a square number
  • 25 is a perfect square of 5.

Square roots of Perfect Square Numbers

Finding square roots is exactly opposite to calculating squares.

Number Square Root
1 x 1 = 1 1
2 x 2 = 4 2
3 x 3 = 9 3
4 x 4 = 16 4
5 x 5 = 25 5
6 x 6 = 36 6
7 x 7 = 49 7
8 x 8 = 64 8
9 x 9 = 81 9
10 x 10 = 100 10
11 x 11 = 121 11

How to find the Square 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

Value of Root 3

Therefore, the value of root 3 is

√3 = 1.73205080757

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