# Square Root of 18 in Simplest Radical Form

The square root of 18 in the simplest radical form is 3√2. In this post, we will learn how to find the simplified radical form of root 18.

## How to Simplify Root 18

To simplify the square root of 18 in simplest radical form, we need to follow the steps provided below.

Step 1: At first, we will factorize the number 18. Note that 18 is an even number, so it will be divisible by 2. It can be written as

18 = 2 × 9 …(I)

And 9 can be expressed as

9 = 3 × 3 …(II)

Combining (I) and (II), we get that 18 = 2 × 3 × 3 …(∗)

This is the prime factorization of 18.

Step 2: Now, taking square root on both sides of (∗), we get that

$\sqrt{18}$ $=\sqrt{2 \times 3 \times 3}$

= $\sqrt{2}$ × $\sqrt{3 \times 3}$

= √2 × 3 using the formula √(a×a) =a

= 3√2.

So 3√2 is the simplified radical form of the square root of 18. In other words,

√18 = 3√2.

Video Solution on How to Simplify Root 18:

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

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

## FAQs

### Q1: What is the lowest radical form of root 18?

Answer: The lowest radical form of the square root of 18 is equal to 3√2.