Cube Root 1 to 30
Cube Root 1 to 30 is the list of cube roots of all the numbers from 1 to 30. Cube roots can be determined for both negative and positive numbers. The values of cube roots from 1 to 30 range from 1 to 3.1072.
In cube roots from 1 to 30, the numbers 1, 8, and 27 are perfect cubes and the remaining numbers are nonperfect cubes i.e. their cube root will be irrational. The cube root 1 to 30 in radical form is expressed as ∛x and in the exponential form, it is expressed as (x)^{⅓}.
Cube Roots 1 to 30:
 In radical form: ∛x
 In exponential form: (x)^{⅓}
Where x is any number between 1 to 30.
1.  Cube Root from 1 to 30 
2.  Cube Root 1 to 30 PDF 
3.  How to Calculate Cube Root 1 to 30? 
4.  FAQs 
Cube Root from 1 to 30 Chart
Cube Root from 1 to 30
Learning cube root 1 to 30 will help you to simplify the timeconsuming long equations quickly. The value of cube roots 1 to 30 up to 3 decimal places is listed in the table below.
Cube Roots from 1 to 30 Rounded to 3 Decimal Places 

∛1 = 1 
∛2 = 1.26 
∛3 = 1.442 
∛4 = 1.587 
∛5 = 1.71 
∛6 = 1.817 
∛7 = 1.913 
∛8 = 2 
∛9 = 2.08 
∛10 = 2.154 
∛11 = 2.224 
∛12 = 2.289 
∛13 = 2.351 
∛14 = 2.41 
∛15 = 2.466 
∛16 = 2.52 
∛17 = 2.571 
∛18 = 2.621 
∛19 = 2.668 
∛20 = 2.714 
∛21 = 2.759 
∛22 = 2.802 
∛23 = 2.844 
∛24 = 2.884 
∛25 = 2.924 
∛26 = 2.962 
∛27 = 3 
∛28 = 3.037 
∛29 = 3.072 
∛30 = 3.107 
The students are advised to memorize these cube roots 1 to 30 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.
Cube Root 1 to 30 for Perfect Cubes
The table below shows the values of cube roots from 1 to 30 for perfect cubes.
∛1 = 1 
∛8 = 2 
∛27 = 3 
Cube Root 1 to 30 for NonPerfect Cubes
The table below shows the values of 1 to 30 cube roots for nonperfect cubes.
Cube Root 1 to 30 for NonPerfect Cubes  ∛2 = 1.259 
∛3 = 1.442 
∛4 = 1.587 
∛5 = 1.710 
∛6 = 1.817 
∛7 = 1.913 
∛9 = 2.080 
∛10 = 2.154 
∛11 = 2.224 
∛12 = 2.289 
∛13 = 2.351 
∛14 = 2.410 
∛15 = 2.466 
∛16 = 2.520 
∛17 = 2.571 
∛18 = 2.621 
∛19 = 2.668 
∛20 = 2.714 
∛21 = 2.759 
∛22 = 2.802 
∛23 = 2.844 
∛24 = 2.884 
∛25 = 2.924 
∛26 = 2.962 
∛28 = 3.037 
∛29 = 3.072 
∛30 = 3.107 
☛ Check: Cube Root Calculator
How to Calculate Cube Root from 1 to 30?
Prime Factorization
Example: Value of ∛8
 Prime factorization of 8 is 2 × 2 × 2
 Pairing prime factors: 2
Therefore, the value of ∛8 = 2
Cube Roots of Numbers Between 1 to 30
Solved Examples on Cube Root 1 to 30

Example 1: A cube has a volume of 30 cubic inches. Find the length of the side of the cube.
Solution:
Let ‘a’ be the length of the side of the cube
Volume of the Cube = 30 in^{3} = a^{3}
i.e. a^{3} = 30
a = ∛30 = 3.107 in
Therefore, the length of the side of the cube is 3.107 inches.

Example 2: Find the real root of the equation 12x^{3} = 96?
Solution:
Given 12x^{3} = 96
Dividing by 12 on both sides,
x^{3} = 8
Using the values from 1 to 30 cube root chart, the real root for the equation 12x^{3} = 96 is for x = 2.

Example 3: Find the value of 3∛10 + ∛30
Solution:
3∛10 + ∛30 = 3 × (2.154) + 3.107 [the value of ∛10 = 2.154 and ∛30 = 3.107]
Therefore, 3∛10 + ∛30 = 6.462 + 3.107 = 9.569
FAQs on Cube Root 1 to 30
What is the Value of Cube Root 1 to 30?
The value of cube root 1 to 30 is a number (x^{⅓}) when multiplied three times gives the original number. Between 1 to 30, the cube roots of 1, 8, and 27 are whole numbers (rational), while the cube roots of 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30 are decimal numbers that are neither terminating nor recurring (irrational).
If you take Cube Root from 1 to 30, How Many of Them will be Irrational?
The numbers 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30 are nonperfect cubes. Hence their cube root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).
What are the Methods to Calculate Cube Roots from 1 to 30?
There are two methods commonly used to calculate the value of cube roots from 1 to 30. For perfect cubes (1, 8, and 27), we can use prime factorization method and for nonperfect cubes (2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30) long division method can be used.
What is the Value of 5 Plus 5 Cube Root 27?
The value of ∛27 is 3. So, 5 + 5 × ∛27 = 5 + 5 × 3 = 20. Hence, the value of 5 plus 5 cube root 27 is 20.
How Many Numbers in Cube Roots 1 to 30 are Rational?
The numbers 1, 8, and 27 are perfect cubes so their cube roots will be whole numbers i.e. can be expressed in the form of p/q where q ≠ 0. Hence, the cube roots of 1, 8, and 27 are rational numbers.
What Values of Cube Roots from 1 to 30 are Between 1 and 2.2 inclusive?
The values of cube roots 1 to 30 between 1 and 2.2 are ∛1 (1), ∛2 (1.26), ∛3 (1.442), ∛4 (1.587), ∛5 (1.710), ∛6 (1.817), ∛7 (1.913), ∛8 (2), ∛9 (2.080), and ∛10 (2.154).
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