Cube Root 1 to 20
Cube Root 1 to 20 is the list of cube roots of all the numbers from 1 to 20. Cube roots can be determined for both negative and positive numbers. The values of cube roots from 1 to 20 range from 1 to 2.71441.
In cube roots from 1 to 20, the numbers 1 and 8 are perfect cubes and the remaining numbers are nonperfect cubes i.e. their cube root will be irrational. The cube root 1 to 20 in radical form is expressed as ∛x and in the exponential form, it is expressed as (x)^{⅓}.
Cube Roots 1 to 20:
 In radical form: ∛x
 In exponential form: (x)^{⅓}
Where x is any number between 1 to 20.
1.  Cube Root from 1 to 20 
2.  Cube Root 1 to 20 PDF 
3.  How to Calculate Cube Root 1 to 20? 
4.  FAQs 
Cube Root from 1 to 20 Chart
Cube Root from 1 to 20
Learning cube root 1 to 20 will help you to simplify the timeconsuming long equations quickly. The value of cube roots 1 to 20 up to 3 decimal places is listed in the table below.
Cube Roots from 1 to 20 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 
The students are advised to memorize these cube roots 1 to 20 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.
Cube Root 1 to 20 for Perfect Cubes
The table below shows the values of cube roots from 1 to 20 for perfect cubes.
∛1 = 1 
∛8 = 2 
Cube Root 1 to 20 for NonPerfect Cubes
The table below shows the values of 1 to 20 cube roots for nonperfect cubes.
∛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 

☛ Check: Cube Root Calculator
How to Calculate Cube Root from 1 to 20?
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 20
Solved Examples on Cube Root 1 to 20

Example 1: A cube has a volume of 9 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 = 9 in^{3} = a^{3}
i.e. a^{3} = 9
a = ∛9 = 2.080 in
Therefore, the length of the side of the cube is 2.080 inches.

Example 2: Find the real root of the equation x^{3} = 8?
Solution:
Given x^{3} = 8
x = ∛8
Using the values from 1 to 20 cube root chart, the real root for the equation x^{3} = 8 is for x = 2.

Example 3: Find the value of ∛12 + ∛14
Solution:
∛12 + ∛14 = 2.289 + 2.410 [the value of ∛12 = 2.289 and ∛14 = 2.410]
Therefore, ∛12 + ∛14 = 2.289 + 2.410 = 4.699
FAQs on Cube Root 1 to 20
What is the Value of Cube Root 1 to 20?
The value of cube root 1 to 20 is a number (x^{⅓}) when multiplied three times gives the original number. It can have both negative and positive values. Between 1 to 20, the cube roots of 1 and 8 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 are decimal numbers that are neither terminating nor recurring (irrational).
What Values of Cube Roots from 1 to 20 are Between 2.5 and 3 inclusive?
The values of cube roots 1 to 20 between 2.5 and 3 are ∛16 (2.520), ∛17 (2.571), ∛18 (2.621), ∛19 (2.668), and ∛20 (2.714).
What are the Methods to Calculate Cube Roots from 1 to 20?
There are two methods commonly used to calculate the value of cube roots from 1 to 20. For perfect cubes (1, and 8), 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) long division method can be used.
What is the Value of 3 Plus 2 Cube Root 3?
The value of ∛3 is 1.442. So, 3 + 2 × ∛3 = 3 + 2 × 1.442 = 5.884. Hence, the value of 3 plus 2 cube root 3 is 5.884.
How Many Numbers in Cube Roots 1 to 20 are Rational?
The numbers 1, and 8 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 and 8 are rational numbers.
If you Take Cube Root from 1 to 20, 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 are nonperfect cubes. Hence their cube root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).
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