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Cube Root 1 to 50

Cube Root 1 to 50 is the list of cube roots of all the numbers from 1 to 50. Cube roots can be determined for both negative and positive numbers. The values of cube roots from 1 to 50 range from 1 to 3.68403.

In cube roots from 1 to 50, the numbers 1, 8, and 27 are perfect cubes and the remaining numbers are non-perfect cubes i.e. their cube root will be irrational. The cube root 1 to 50 in radical form is expressed as ∛x and in the exponential form, it is expressed as (x)^⅓.

Cube Roots 1 to 50:

In radical form: ∛x
In exponential form: (x)^⅓

Where x is any number between 1 to 50.

1.	Cube Root from 1 to 50
2.	Cube Root 1 to 50 PDF
3.	How to Calculate Cube Root 1 to 50?
4.	FAQs

Cube Root from 1 to 50 Chart

Cube Roots 1 to 50

Cube Root from 1 to 50

Learning cube root 1 to 50 will help you to simplify the time-consuming long equations quickly. The value of cube roots 1 to 50 up to 3 decimal places is listed in the table below.

Cube Roots from 1 to 50 Rounded to 3 Decimal Places
∛1 = 1.000	∛2 = 1.260	∛3 = 1.442	∛4 = 1.587	∛5 = 1.710
∛6 = 1.817	∛7 = 1.913	∛8 = 2.000	∛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	∛27 = 3.000	∛28 = 3.037	∛29 = 3.072	∛30 = 3.107
∛31 = 3.141	∛32 = 3.175	∛33 = 3.208	∛34 = 3.240	∛35 = 3.271
∛36 = 3.302	∛37 = 3.332	∛38 = 3.362	∛39 = 3.391	∛40 = 3.420
∛41 = 3.448	∛42 = 3.476	∛43 = 3.503	∛44 = 3.530	∛45 = 3.557
∛46 = 3.583	∛47 = 3.609	∛48 = 3.634	∛49 = 3.659	∛50 = 3.684

☛ Cube Root 1 to 50 PDF

The students are advised to memorize these cube roots 1 to 50 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.

Cube Root 1 to 50 for Perfect Cubes

The table below shows the values of cube roots from 1 to 50 for perfect cubes.

∛1 = 1	∛8 = 2
∛27 = 3

Cube Root 1 to 50 for Non-Perfect Cubes

The table below shows the values of 1 to 50 cube roots for non-perfect cubes.

∛2 = 1.260	∛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	∛31 = 3.141	∛32 = 3.175	∛33 = 3.208
∛34 = 3.240	∛35 = 3.271	∛36 = 3.302	∛37 = 3.332	∛38 = 3.362
∛39 = 3.391	∛40 = 3.420	∛41 = 3.448	∛42 = 3.476	∛43 = 3.503
∛44 = 3.530	∛45 = 3.557	∛46 = 3.583	∛47 = 3.609	∛48 = 3.634
∛49 = 3.659	∛50 = 3.684

☛ Check: Cube Root Calculator

How to Calculate Cube Root from 1 to 50?

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 50

Cube Root Of 1	Cube Root Of 2
Cube Root Of 3	Cube Root Of 4
Cube Root Of 5	Cube Root Of 6
Cube Root Of 7	Cube Root Of 8
Cube Root Of 9	Cube Root Of 10
Cube Root Of 11	Cube Root Of 12
Cube Root Of 13	Cube Root Of 14
Cube Root Of 15	Cube Root Of 16
Cube Root Of 17	Cube Root Of 19
Cube Root Of 20	Cube Root Of 21
Cube Root Of 22	Cube Root Of 23
Cube Root Of 24	Cube Root Of 25
Cube Root Of 26	Cube Root Of 27
Cube Root Of 28	Cube Root Of 29
Cube Root Of 30	Cube Root Of 31
Cube Root Of 32	Cube Root Of 33
Cube Root Of 34	Cube Root Of 35
Cube Root Of 36	Cube Root Of 37
Cube Root Of 40	Cube Root Of 41
Cube Root Of 42	Cube Root Of 43
Cube Root Of 44	Cube Root Of 45
Cube Root Of 47	Cube Root Of 48
Cube Root Of 49	Cube Root Of 50

Solved Examples on Cube Root 1 to 50

Example 1: A cube has a volume of 25 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 = 25 in³ = a³

i.e. a³ = 25

a = ∛25 = 2.924 in.

Therefore, the length of the side of the cube is 2.924 inches.
Example 2: Find the real root of the equation 11x³ = 88?

Solution:

Given 11x³ = 88

Dividing by 11 on both sides,

x³ = 8

Using the values from 1 to 50 cube root chart, the real root for the equation 11x³ = 88 is for x = 2.
Example 3: Find the value of 2∛8 + 3∛27

Solution:

2∛8 + 3∛27 = 2 × (2) + 3 × (3) [the value of ∛8 = 2 and ∛27 = 3]

Therefore, 2∛8 + 3∛27 = 4 + 9 = 13

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FAQs on Cube Root 1 to 50

What is the Value of Cube Root 1 to 50?

The value of cube root 1 to 50 is a number (x^⅓) when multiplied three times gives the original number. Between 1 to 50, 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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, and 50 are decimal numbers that are neither terminating nor recurring (irrational).

What are the Methods to Calculate Cube Roots from 1 to 50?

There are two methods commonly used to calculate the value of cube roots from 1 to 50. For perfect cubes (1, 8, and 27), we can use prime factorization method and for non-perfect 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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, and 50) long division method can be used.

If You Take Cube Root from 1 to 50, 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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, an 50 are non-perfect cubes. Hence their cube root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).

How Many Numbers in Cube Roots 1 to 50 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 50 are Between 1 and 1.5 Inclusive?

The values of cube roots 1 to 50 between 1 to 1.5 are ∛1 (1), ∛2 (1.26), and ∛3 (1.442).

What is the Value of 5 Plus 5 Cube Root 8?

The value of ∛8 is 2. So, 5 + 5 × ∛8 = 5 + 5 × 2 = 15. Hence, the value of 5 plus 5 cube root 8 is 15.

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