# Square Root of 12 in Simplest Radical Form

The square root of 12 in simplest radical form is 2√3. Here we will learn how to find the square of root 12 in simplified radical form.

## How to Simplify Root 12

To get the square root of 12 in the simplest radical form, we need to follow the steps provided below.

Step 1:

First, we factorize the number 12. As 12 is an even number, it will be divisible by 2 and we can write

12 = 2 × 6 …(I)

We now factorise 6. Note that

6 = 2 × 3 …(II)

Combining (I) and (II), we obtain the prime factorization of 12 which is given by as follows:

12 = 2 × 2 × 3 …(∗)

Step 2:

Now, we take square roots on both sides of (∗). As a result, we obtain that

√12 = $\sqrt{2 \times 2 \times 3}$

= $\sqrt{2 \times 2}$ × $\sqrt{3}$. Here we have used the rule √ab = √a ×√b

= 2 × √3 using the formula √(a×a) =a

= 2√3.

So 2√3 is the simplified radical form of the square root of 12. In other words,

√12 = 2√3.

Video Solution on How to Simplify Root 12 Simplified:

Have You Read These Square Roots:

Root 8 Simplified: The root 8 simplified is equal to 2√2.

Root 18 Simplified: The root 18 simplified is equal to 3√2.

Root 27 Simplified: The root 27 simplified is equal to 3√3.

Root 50 Simplified: The root 50 simplified is equal to 5√2.

## FAQs

### Q1: What is the lowest radical form of root 12?

Answer: The lowest radical form of the square root of 12 is 2√3.

### Q2: What is root 12 in simplified radical form?

Answer: The simplified radical form of root 12 is equal to 2√3.