# What is 2 radical 3?

Last Update: April 20, 2022

This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!

**Asked by: Prof. Modesto Koss II**

Score: 4.8/5 (32 votes)

Explanation: though it may not be a simplification, 2√3 can be shown as **√12** .

## What is 2 times the root of 3?

Just keep the 2 along with √3 . So that becomes, ⇒**2×√3=2√3** .

## What is radical 3 as a fraction?

"The" square root of 3 is an irrational number. It is not expressible in the form pq for integers p,q and its decimal expansion neither repeats nor terminates. It can be expressed by a (non terminating) continued fraction: **√3=[1;¯¯¯¯¯¯1,2]**=1+11+12+11+12+11+12+11+...

## Why is √ 3 an irrational number?

Here 3 is the prime number that divides p^{2}, then 3 divides p and thus 3 is a factor of p. ... This is the contradiction to our assumption that p and q are co-primes. So, **√3 is not a rational number**. Therefore, the root of 3 is irrational.

## Is √ 3 an irrational number?

The square root of 3 is **an irrational number**. It is also known as Theodorus' constant, after Theodorus of Cyrene, who proved its irrationality.

## Which one is Bigger? sqrt(2) or cbrt(3)? - An Interesting Cambridge Interview Question!

**38 related questions found**

### How do you simplify 2 radical 3?

though it may not be a simplification, 2√3 can be shown as **√12** .

### What does 2 to the third power mean?

Answer: 2 raised to the third power is equal to **2 ^{3} = 8**. Let's find 2 to the 3rd power. Explanation: 2 to the 3rd power can be written as 2

^{3}= 2 × 2 × 2, as 2 is multiplied by itself 3 times. Here, 2 is called the "base" and 3 is called the "exponent" or "power."

### How do you find the root value of 2?

Root 2 Value

The square root of 2 is the number which when multiplied with itself gives the result as 2. It is generally represented as √2 or 2^{½}. The numerical value of square root 2 up to 50 decimal places is as follows: √2 = **1.41421356237309504880168872420969807856967187537694…**

### How can I get root 3 value?

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.

### Is 2 Root 3 an irrational number?

Proof. Let us assume that 2+√3 is a rational number. A rational number can be written in the form of p/q. ... Therefore,**2+√3 is an irrational number**.

### What is 4th to the 3rd power?

Answer: The value of 4 to the 3rd power i.e., 4^{3} is **64**.

### What is 9 by the power of 3?

Answer: 9 to the power of 3 can be expressed as 9^{3} = 9 × 9 × 9 = **729**. Let us proceed step by step to write 9 to the power of 3. Explanation: The two crucial terms used frequently in exponents are base and powers.

### Is √ 4 an irrational number?

Is the Square Root of 4 Rational or Irrational? A number that can be expressed as a ratio of two integers, i.e., p/q, q = 0 is called a rational number. ... Thus, **√4 is a rational number**.

### Why is 2/3 a rational number?

The fraction 2/3 is a **rational number**. Rational numbers can be written as a fraction that has an integer (whole number) as its numerator and denominator. Since both 2 and 3 are integers, we know 2/3 is a rational number. ... All repeating decimals are also rational numbers.

### Why is 2 an irrational number?

The decimal expansion of √2 is infinite because it is non-terminating and non-repeating. **Any number that has a non-terminating and non-repeating decimal expansion is always** an irrational number. So, √2 is an irrational number.