384 LearnersLast updated on May 26th, 2025
Cube Root of 4
The cube root of 4 is the value that, when multiplied by itself three times (cubed), gives the original number 4. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, density and mass, field of engineering etc.
What Is the Cube Root of 4?
The cube root of 4 is 1.58740105197. The cube root of 4 is expressed as ∛4 in radical form, where the “ ∛ “ sign is called the “radical” sign. In exponential form, it is written as (4)â…“. If “m” is the cube root of 4, then, m3=4. Let us find the value of “m”.
Finding the Cube Root of 4
The cube root of 4 is expressed as ∛4 as its simplest radical form,
since 4 = 2×2
∛4 = ∛(2×2)
Group together three same factors at a time and put the remaining factor under the ∛ .
∛4= ∛4
We can find cube root of 4 through a method, named as, Halley’s Method. Let us see how it finds the result.
Cube Root of 4 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 4.
Step 1: Let a=4. Let us take x as 1, since, 13=1 is the nearest perfect cube which is less than 4.
Step 2: Apply the formula. ∛4≅ 1((13+2×4) / (2(1)3+4))= 1.5
Hence, 1.5 is the approximate cubic root of 4.
Common Mistakes and How to Avoid Them in the Cube Root of 4
some common mistakes with their solutions are given below:
Mistake 1
Children get confused of the concept of cube root with that of square root.
The Cube root of 4 is ∛4, and the square root of 4 is √4. Understand the definition of Cube roots and square root.
Cube Root of 4 Examples
Problem 1
Find ∛4/ ∛6
∛4/ ∛6
= 1.587 / 1.817
= 1587/1817
= 0.873
Answer: 0.873
Explanation
We know that the cubic root of 6 is 1.817, hence dividing ∛4 by ∛6.
Problem 2
The Volume of a cube is 4 cubic centimeters, find the length of one side of the cube.
We know that, (side of a cube)3=Volume of a cube
⇒side of the cube = ∛(Volume of the cube)
⇒side of the cube = ∛4
⇒ side of the cube = 1.587 cm
Answer: 1.587 cm
Explanation
We applied the formula for finding the volume of a cube, and inverted it to find the measure of one side of the cube.
Problem 3
Subtract ∛4 - ∛8
∛4-∛8
= 1.587–2
= -0.413
Answer: -0.413
Explanation
We know that the cubic root of 8 is 2, hence subtracting ∛8 from ∛4.
Problem 4
What is ∛(4²) ?
∛(42)
= ∛16
= 2.519…
Answer: 2.519…
Explanation
We first found the square value of 4, which is 16, and then found out the cube root of 16.
Problem 5
Find ∛(4+4).
∛(4+4)
= ∛8
= 2
Answer: 2
Explanation
Simplified the expression, and found out the cubic root of the result.
FAQs on Cube Root of 4
1.How to solve 3√4 ?
2.How do you calculate cube root?
3.What will be the cube of 4?
4.How to solve 3√2 ?
5.How to solve cube root of 5?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube Root of 4?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube Root of 4?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Cube Root of 4
- Integers: Integers are numbers that can be positive, negative, or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers. The examples of integers are, 1, 2, 5,8, -9, -12, etc.
- Whole numbers:The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity.
- Square root:The square root of a number is a value, which, on multiplication by itself, gives the original number.
- 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 nearly correct, but not perfectly correct.
- Iterative method: This method is a mathematical process which uses an initial value to generate further and step-by-step sequence of solutions for a problem.
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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.
Fun Fact
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