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Last updated on November 30th, 2024

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Cube Root of 1200

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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 1200, and its examples.

Cube Root of 1200 for Singaporean Students
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What Is the Cube Root of 1200?

The cube root of 1200 is the value which, when multiplied by itself three times (cubed), gives the original number 1200. The cube root of 1200 is 10.6265856918.  The cube root of 1200 is expressed as ∛1200 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (1200)â…“. If “m” is the cube root of 1200, then, m3=1200. Let us find the value of “m”.
 

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Finding the Cubic Root of 1200

We can find cube roots of 1200 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cubic Root of 1200 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 1200.


Step 1: Let a=1200. Let us take x as 10, since 103=1000 is the nearest perfect cube which is less than 1200.


Step 2: Apply the formula.  âˆ›1200≅ 10((103+2×1200) / (2(10)3+1200)) = 10.62…


Hence, 10.62… is the approximate cubic root of 1200.
 

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Common Mistakes and How to Avoid Them in the Cube Root of 1200

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Cube Root of 1200 Examples

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Problem 1

Find ∛1200/ ∛600

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Explanation

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Problem 2

The volume of a cube is 1200 cubic centimeters, find the length of one side of the cube.

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Explanation

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Problem 3

Subtract ∛1200 - ∛216, ∛1331-∛1200

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Explanation

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Problem 4

What is ∛(1200²) ?

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Explanation

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Problem 5

Find ∛((1200+528)×(1200+997)).

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Explanation

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FAQs on 1200 Cube Root

1.What is the simplest form of 3∛1200 ?

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2.What number cube is 1200?

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3.Is 1200 a square root?

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4.How to find the cube root of 1200?

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5.Is the ∛1200 irrational?

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6.How does learning Algebra help students in Singapore make better decisions in daily life?

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7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube Root of 1200?

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8.How do technology and digital tools in Singapore support learning Algebra and Cube Root of 1200?

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9.Does learning Algebra support future career opportunities for students in Singapore?

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Important Glossaries for Cube Root of 1200

  • Cube root properties - The features when cube root is applied to any number. Those are: 1) The cube root of all odd numbers is an odd number. The same applies for even numbers also, that is, the cube of any even number is even. 
  •  

2) The cube root of a negative number is also negative.


3) If the cube root of a number is a whole number, then that original number is said to be perfect cube

 

  • 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. 
     
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About BrightChamps in Singapore

At BrightChamps, we understand algebra is far more than symbols—it’s a gateway to countless possibilities! We aim to help kids across Singapore master vital math skills, focusing today on the Cube Root of 1200 with a special focus on cube roots—in an engaging, easy-to-follow, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Universal Studios Singapore, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds confidence for everyday life. Our interactive lessons keep learning simple and fun. Since kids in Singapore learn in different ways, we customize our teaching to fit each learner’s needs. From the vibrant city streets to scenic gardens, BrightChamps brings math alive, making it relevant and exciting throughout Singapore. Let’s make cube roots a fun part of every child’s math journey!
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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.

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Fun Fact

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

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