: We can solve by prime factorization method or Long division method. Let us apply prime factorization method, √50 = 2× 5× 5 ⇒ √50 = √(2× 5× 5)=5√2

Table Of Contents

Finding the Cubic Root of 50

Cubic Root of 50 By Halley’s Method

Common Mistakes and How to Avoid Them in the Cube Root of 50

Cube Root of 50 Examples

FAQs on 50 Cube Root

Important Glossaries for Cube Root of 50

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Last updated on May 26th, 2025

Cube Root of 50

Q: What is the square of 50?

Square of 50 can be calculated by just multiplying 40 with itself, i.e., 50×50, which results into 2500.

Q: What does 4∛64 mean?

4∛64 actually means 4×∛64 = 4×∛(2×2×2×2×2×2) = 4×2×2 = 16

Q: What is the square root of 50 in the simplest form?

The square root of 50 in the simplest form is just the same as doing prime factorization. √50 = 2× 5× 5 ⇒ √50 = √(2× 5× 5)=5√2

Q: How does learning Algebra help students in Indonesia make better decisions in daily life?

Algebra teaches kids in Indonesia to analyze information and predict outcomes, helping them in decisions like saving money, planning schedules, or solving problems.

Q: How can cultural or local activities in Indonesia support learning Algebra topics such as Cube Root of 50?

Traditional games, sports, or market activities popular in Indonesia can be used to demonstrate Algebra concepts like Cube Root of 50, linking learning with familiar experiences.

Q: How do technology and digital tools in Indonesia support learning Algebra and Cube Root of 50?

At BrightChamps in Indonesia, we encourage students to use apps and interactive software to demonstrate Algebra’s Cube Root of 50, allowing students to experiment with problems and see instant feedback for better understanding.

Q: Does learning Algebra support future career opportunities for students in Indonesia?

Yes, understanding Algebra helps students in Indonesia develop critical thinking and problem-solving skills, which are essential in careers like engineering, finance, data science, and more.

Professor Greenline Explaining Math Concepts

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 50, and its examples.

Cube Root of 50 for Indonesian Students

What Is the Cube Root of 50?

The cube root of 50 is the value which, when multiplied by itself three times (cubed), gives the original number 50. The cube root of 50 is 3.68403149864. The cube root of, 50 is expressed as ∛50 in radical form, where the “ ∛ ” sign” is called the “radical” sign. In exponential form, it is written as (50)^⅓. If “m” is the cube root of 50, then, m³=50. Let us find the value of “m”.

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Finding the Cubic Root of 50

We can find cube roots of 50 through a method, named as, Halley’s Method. Let us see how it finds the result.

Cubic Root of 50 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, 50.

Step 1: Let a=50. Let us take x as 3, since 3³=27 is the nearest perfect cube which is less than 50.

Step 2: Apply the formula. ∛50≅ 3((3³+2×50) / (2(3)³+50)) = 3.66…

Hence, 3.66… is the approximate cubic root of 50.

Common Mistakes and How to Avoid Them in the Cube Root of 50

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

Mistake 1

For ∛50, students can make error in the important part of prime factorization.

Prime Factorization is a crucial part in determining cube roots and square roots. So, use the exact prime factors and group (or pair).

Mistake 2

Applying exponent rules incorrectly when finding cube roots

∛50 is not same as 50 . ∛50 = 3.66… and, 503 is 125000.

Mistake 3

For large non-perfect cubes, students frequently estimate wrongly and leave it with a wrong result.

Keep the methods of finding cube roots in front whenever attempting large non-perfect cubes.

Mistake 4

Students typically rely on memorizing rather than understanding concepts of cube root.

Memorizing is not the solution when it comes to complex problems. So understanding the methods of finding cube roots is advisable.

Mistake 5

Misapply the cube root property like when asked to solve ∛(50)³, students might do as ∛(50×3)

Clear the concepts again and again if they don’t understand, where to do what. ∛(50)³≠∛(50×3). ∛(50)³= 50

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Cube Root of 50 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Find ((∛150/ ∛50) × (∛150/ ∛50) × (∛150/ ∛50))

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Okay, lets begin

(∛150/ ∛50) × (∛150/ ∛50) × (∛150/ ∛50)

= (∛150× ∛150× ∛150) / (∛50× ∛50× ∛50)

=((150)^⅓)³/ ((50)^⅓)³

=150/50

Answer: 3

Explanation

We solved and simplified the exponent part first using the fact that, ∛150=(150)^⅓ and ∛50=(50)^⅓ , then solved.

Well explained 👍

Problem 2

If y = ∛50, find (y³/ y⁶)×(y²/y⁴)×y³

Okay, lets begin

: y=∛50

⇒ (y³/ y⁶)×(y²/y⁴)

= ((∛50)³ / (∛50)⁶)×((∛50)² / (∛50)⁴)× (∛50)³

⇒ (y³/ y⁶)×(y²/y⁴)= (50/ (50)²) × (502/3-4/3)×(50)= 1/(50)^2/3

Answer:1/(50^)2/3

Explanation

(∛50)³=(50^1/3)³=50, ∛(50)⁶=(50^1/3)⁶=(50)2, (∛50)²=(50^1/3)²=50^2/3, and (∛50)⁴=(50^1/3)⁴=(50^)4/3Using this, we found the value of (y³/ y⁶)×(y²/y⁴)×y³.

Well explained 👍

Problem 3

Multiply ∛50 × ∛1000 × ∛125

Okay, lets begin

∛50 × ∛1000 × ∛125

= 3.66 × 10 ×5

= 183

Answer: 183

Explanation

We know that the cubic root of 1000 is 10 and the cubic root of 125 is 5, hence multiplying ∛125, ∛1000 and ∛50.

Well explained 👍

Problem 4

What is ∛(10)⁶ + ∛(50)⁶?

Okay, lets begin

∛(10⁶)+ ∛(50)⁶

= ((10)⁶))^1/3 +((50)⁶)^1/3

=(10)² + (50)²

= 100 + 2500

Answer: 2600

Explanation

We solved and simplified the exponent part first using the fact that, ∛10=(10)^⅓ and ∛50=(50)^⅓ , then solved.

Well explained 👍

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FAQs on 50 Cube Root

1.How to solve √50 ?

2.What is the square of 50?

3.What does 4∛64 mean?

4.What is the square root of 50 in the simplest form?

5.How do I calculate ∛500?

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

7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube Root of 50?

8.How do technology and digital tools in Indonesia support learning Algebra and Cube Root of 50?

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

Struggling with Math?

Get 1:1 Coaching to Boost Grades Fast !

Important Glossaries for Cube Root of 50

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.

About BrightChamps in Indonesia

At BrightCHAMPS, we believe algebra is more than symbols it opens up countless opportunities! We’re here to help children across Indonesia develop key math skills, focusing today on the Cube Root of 50 with an emphasis on understanding cube roots in a way that’s lively, fun, and easy to follow. Whether your child is measuring the speed of a roller coaster at Dunia Fantasi, keeping track of scores at a local badminton game, or managing their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday tasks. Our interactive lessons make learning simple and enjoyable. Because children in Indonesia learn in many ways, we adapt our teaching to each child’s needs. From the busy streets of Jakarta to the beautiful beaches of Bali, BrightCHAMPS brings math to life, making it engaging all across Indonesia. Let’s make cube roots an exciting part of every child’s math journey!

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.