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Value of Root 3 | Root 3 Value | √3 Value | Under Root 3 Value

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 and √3 is roughly equivalent to 1.732.

Brajesh Last updated on October 10th, 2024 02:00 pm Leave a comment

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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.

What Is The Square Root Of 4?

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:

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FAQs

Is the value of root 2?

The value of root is 1.414

What is root 3 called?

The root when has a power 3, or is written number to the power 1/3, then it is called as cube root of that number.

What is root 3 as a fraction?

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.

Is Root √3 times root 3?

When root 3 is multiplied by itself, also denoted as √3, then we get the value as √3 × √3, and the resultant value is 3.

What are the roots of √ 4?

Root 4 has a value that is precisely equal to 2. However, we may state that there are always two roots for each given number and that the roots may be positive or negative. Root 4 is therefore equal to -2 or +2 and -2. (positive 2 and negative 2).

About the Author

Brajesh Yadav

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Hi, I am Brajesh (M.Tech, MCA), I Professional Educator having 3 years of experience in school education sector. Aim to provide JEE, NEET, CUET, and Other Entrance exams information in a simple way to help students find clarity and confidence. I provide here easily accessible content on Exam Notifications, Syllabus, Admit Cards, and Results.