Cube Root of 18
2026-02-28 08:15 Diff
https://brightchamps.com/en-us/math/algebra/cube-root-of-18

620 Learners

Last updated on August 5, 2025

We will learn the cube root concept to use it on other mathematical topics like algebra, mensuration, geometry, trigonometry, etc. So, it is as important as learning square roots. Let us now see how we can obtain the cube root value of 18, and its examples.

What Is the Cube Root of 18?

The cube root of 18 is the value which, when multiplied by itself three times (cubed), gives the original number 18. The cube root of 18 is 2.62074139421.  The cube root of 18 is expressed as ∛18 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (18)⅓. If “m” is the cube root of 18, then, m3=18. Let us find the value of “m”.
 

Finding the Cube Root of 18

We can find cube root of 18 through a method, named as, Halley’s Method. Let us see how it finds the result

Cubic Root of 18 By Halley’s Method

Now, what is Halley’s Method? It is an iterative method for finding cube roots of a given number N, such that, x3=N, where this method approximates the value of “x”.


Formula is ∛a≅ x((x3+2a) / (2x3+a)), where


a=given number whose cube root you are going to find


x=integer guess for the cubic root


Let us apply Halley’s method on the given number 18.


Step 1: Let a=18. Let us take x as 2, since 23=8 is the nearest perfect cube which is less than 18.


Step 2: Apply the formula.  ∛18≅ 2((23+2×18) / (2(2)3+18))= 2.59…


Hence, 2.59… is the approximate cubic root of 18.
 

Explore Our Programs

Common Mistakes and How to Avoid Them in the Cube Root of 18

Understanding common misconceptions or mistakes can make your calculations error free. So let us see how to avoid those from happening.
 

Download Worksheets

Problem 1

Find ∛18 / 2620.

Okay, lets begin

 (∛18) / 2620

= 2.620/2620

=0.001


Answer: 0.001
 

Explanation

Simplified the expression, and found out the result.
 

Well explained 👍

Problem 2

Find ∛(18+(-10)).

Okay, lets begin

∛(18+(-10))

= ∛(18-10)

=∛8

=2
Answer: 2
 

Explanation

Simplified the expression, and found out the cubic root of the result. 

Well explained 👍

Problem 3

What is ∛(18⁶) ?

Okay, lets begin

 ∛(186)

= ((18)6))1/3

=( 18)2

= 324


Answer: 324 
 

Explanation

We solved and simplified the exponent part first using the fact that, ∛18=(18)⅓, then solved.
 

Well explained 👍

Problem 4

Multiply ∛18 × ∛27 × ∛64

Okay, lets begin

∛18×∛27× ∛64

= 2.620×3×4

= 31.44 


Answer: 31.44
 

Explanation

We know that the cubic root of 27 is 3 and that of 64 is 4, hence multiplying.
 

Well explained 👍

Problem 5

Find ∛(18+(-8)+24+(-7)).

Okay, lets begin

∛(18-8+24-7) = ∛27=3
 

Answer: 3

Explanation

Simplified the expression, and found out the cubic root of the result. 
 

Well explained 👍

FAQs on 18 Cube Root

1.What is the cube of 18?

The cube of a number means, the number multiplied by itself thrice. So, the cube of 18 is 18×18×18 =5832. 
 

2.How to solve the cube root of 3?

 The cube root of a value of 3 can be solved in the easiest method called, Halley’s Method. This will provide you with the approximate value of the cube root of 3. The value is 1.44224…
 

3.Is ∛18 real?

4.What is the order of ∛18?

 The order of ∛18 is 3, because the order of a root refers to the degree of the root.
 

5.What is √3 called?

 √3 is called the square root of the number 3. We can solve the square root of 3 by the Long Division method, or prime factorization method. The exact value is 1.732…
 

Important Glossaries for Cube Root of 18

  • Irrational Numbers - Numbers which cannot be expressed as m/n form, where m and n are integers and n not equal to 0, are called Irrational numbers.
  • Square root -The square root of a number is a number which when multiplied by itself produces the original number, whose square root is to be found out.
  • Polynomial - It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.
  • Approximation - Finding out a value which is near to the correct answer, but not perfectly correct.
  • Iterative method - This method is a mathematical process which uses an initial value to generate a further sequence of solutions for a problem, step-by-step. 

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.