Value of Root 3
The radical or square root sign “√” is used to symbolise the square root of 3, and it is written as √3. The number √3 is roughly equivalent to 1.732. In mathematics, this number is frequently employed. Root 3 cannot be expressed as a fraction since it is an irrational number. It implies that there are infinity many decimals. Here, we’ll examine the root value and the long division formula to determine the value of root 3.
What is the Value of Root 3 in decimal?
Value of root 3 (which is written as √3) can only be expressed in fraction as 3 is not a perfect square. So, when we find the value of root 3 by the long division method, we obtain the value as,
|√3 = 1.732|
Value of Under Root 3: Rational or Irrational
3 is not a perfect square, therefore, the value of root 3 will always come out in fraction and not in a whole number format. Also, the value of root 3 is a never ending value and we can extend it more decimal places, therefore it cannot be expressed in terms of fraction, and hence the value of root 3 is Irrational.
Value of Root 3 in Fraction
The value of root 3 cannot be expressed in fraction as the value of root 3 is a never ending value and it cannot have a perfect denominator. Also, we know that value of root 3 is irrational and also we know that irrational values cannot be expressed as fraction, so is the case for the value of root 3 and hence the value of root 3 cannot be expressed in fraction.
Value of Root 3: Method to find the value of Root 3
Value of root 3 can be found by the method of long division. So, finding the value of root 3 by long division method: