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