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Cube Root 1 to 100

Cube Root 1 to 100 is the list of cube roots of all numbers from 1 to 100. Cube roots can be determined for both negative and positive values. The values of cube roots from 1 to 100 range from 1 to 4.64158.

In cube roots 1 to 100, the numbers 1, 8, 27, and 64 are perfect cubes and the remaining numbers are non-perfect cubes i.e. their cube root will be irrational. The cube root 1 to 100 in radical form is expressed as ∛x and in the exponential form, it is expressed as (x)^⅓.

Cube Roots 1 to 100:

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

Where x is any number between 1 to 100.

1.	Cube Root from 1 to 100
2.	Cube Root 1 to 100 PDF
3.	How to Calculate Cube Root 1 to 100?
4.	FAQs

Cube Root from 1 to 100 Chart

Cube Roots 1 to 100

Cube Root from 1 to 100

Learning cube root 1 to 100 will help you to simplify the time-consuming long equations quickly. The value of cube roots 1 to 100 up to 3 decimal places is listed in the table below.

Cube Roots from 1 to 100 Rounded to 3 Decimal Places
∛1 = 1	∛2 = 1.260	∛3 = 1.442	∛4 = 1.587	∛5 = 1.710
∛6 = 1.817	∛7 = 1.913	∛8 = 2	∛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	∛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
∛51 = 3.708	∛52 = 3.733	∛53 = 3.756	∛54 = 3.780	∛55 = 3.803
∛56 = 3.826	∛57 = 3.849	∛58 = 3.871	∛59 = 3.893	∛60 = 3.915
∛61 = 3.936	∛62 = 3.958	∛63 = 3.979	∛64 = 4	∛65 = 4.021
∛66 = 4.041	∛67 = 4.062	∛68 = 4.082	∛69 = 4.102	∛70 = 4.121
∛71 = 4.141	∛72 = 4.160	∛73 = 4.179	∛74 = 4.198	∛75 = 4.217
∛76 = 4.236	∛77 = 4.254	∛78 = 4.273	∛79 = 4.291	∛80 = 4.309
∛81 = 4.327	∛82 = 4.344	∛83 = 4.362	∛84 = 4.380	∛85 = 4.397
∛86 = 4.414	∛87 = 4.431	∛88 = 4.448	∛89 = 4.465	∛90 = 4.481
∛91 = 4.498	∛92 = 4.514	∛93 = 4.531	∛94 = 4.547	∛95 = 4.563
∛96 = 4.579	∛97 = 4.595	∛98 = 4.610	∛99 = 4.626	∛100 = 4.642

☛ Cube Root 1 to 100 PDF

The students are advised to memorize these cube roots 1 to 100 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.

Cube Root 1 to 100 for Perfect Cubes

The table below shows the values of cube roots from 1 to 100 for perfect cubes.

∛1 = 1	∛8 = 2
∛27 = 3	∛64 = 4

Cube Root 1 to 100 for Non-Perfect Cubes

The table below shows the values of 1 to 100 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 = 2.620	∛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 = 3.036
∛29 = 3.072	∛30 = 3.107	∛31 = 3.141	∛32 = 3.174	∛33 = 3.207
∛34 = 3.239	∛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 = 3.556	∛46 = 3.583	∛47 = 3.608	∛48 = 3.634
∛49 = 3.659	∛50 = 3.684	∛51 = 3.708	∛52 = 3.732	∛53 = 3.756
∛54 = 3.779	∛55 = 3.802	∛56 = 3.825	∛57 = 3.848	∛58 = 3.870
∛59 = 3.892	∛60 = 3.914	∛61 = 3.936	∛62 = 3.957	∛63 = 3.979
∛65 = 4.020	∛66 = 4.041	∛67 = 4.061	∛68 = 4.081	∛69 = 4.101
∛70 = 4.121	∛71 = 4.140	∛72 = 4.160	∛73 = 4.179	∛74 = 4.198
∛75 = 4.217	∛76 = 4.235	∛77 = 4.254	∛78 = 4.272	∛79 = 4.290
∛80 = 4.308	∛81 = 4.326	∛82 = 4.344	∛83 = 4.361	∛84 = 4.379
∛85 = 4.396	∛86 = 4.413	∛87 = 4.430	∛88 = 4.447	∛89 = 4.464
∛90 = 4.481	∛91 = 4.497	∛92 = 4.514	∛93 = 4.530	∛94 = 4.546
∛95 = 4.562	∛96 = 4.578	∛97 = 4.594	∛98 = 4.610	∛99 = 4.625
∛100 = 4.642

☛ Check: Cube Root Calculator

How to Calculate Cube Root from 1 to 100?

Prime Factorization

Example: Value of ∛27

Prime factorization of 27 is 3 × 3 × 3
Pairing prime factors: 3

Therefore, the value of ∛27 = 3

Cube Roots of Numbers Between 1 to 100

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
Cube Root Of 51	Cube Root Of 52
Cube Root Of 53	Cube Root Of 54
Cube Root Of 55	Cube Root Of 56
Cube Root Of 57	Cube Root Of 60
Cube Root Of 63	Cube Root Of 64
Cube Root Of 65	Cube Root Of 66
Cube Root Of 68	Cube Root Of 70
Cube Root Of 72	Cube Root Of 75
Cube Root Of 80	Cube Root Of 81
Cube Root Of 84	Cube Root Of 87
Cube Root Of 88	Cube Root Of 90
Cube Root Of 91	Cube Root Of 96
Cube Root Of 99	Cube Root Of 100

Solved Examples on Cube Root 1 to 100

Example 1: A cube has a volume of 100 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 = 100 in³ = a³

i.e. a³ = 100

a = ∛100 = 4.642 in

Therefore, the length of the side of the cube is 4.642 inches.
Example 2: Find the real root of the equation 8x³ = 216?

Solution:

Given 8x³ = 216

Dividing by 8 on both sides,

x³ = 27

Using the values from 1 to 100 cube root chart, the real root for the equation 8x³ = 216 is for x = 3.
Example 3: Find the value of 17∛27 + 12∛9

Solution:

17∛27 + 12∛9 = 17 × (3) + 12 × (2.08) [the value of ∛27 = 3 and ∛9 = 2.08]

Therefore, 17∛27 + 12∛9 = 51 + 24.96 = 75.96

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FAQs on Cube Root 1 to 100

What is the Value of Cube Root 1 to 100?

The value of cube root 1 to 100 is a number (x^⅓) when multiplied three times gives the original number. From 1 to 100, the cube roots of 1, 8, 27 and 64 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, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, and 100 are decimal numbers that are neither terminating nor recurring (irrational).

What is the Value of 21 Plus 2 Cube Root 64?

The value of ∛64 is 4. So, 21 + 2 × ∛64 = 21 + 2 × 4 = 29. Hence, the value of 21 plus 2 cube root 64 is 29.

What are the Methods to Calculate Cube Roots from 1 to 100?

There are two methods commonly used to calculate the value of cube roots from 1 to 100. For perfect cubes (1, 8, 27 and 64), 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, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, and 100) long division method can be used.

If you Take Cube Root from 1 to 100, 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, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, and 100 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).

What Values of Cube Roots from 1 to 100 are Between 1 and 2 inclusive?

The values of cube roots 1 to 100 between 1 to 2 are ∛1 (1), ∛2 (1.26), ∛3 (1.442), ∛4 (1.587), ∛5 (1.71), ∛6 (1.817), ∛7 (1.913), and ∛8 (2).

How Many Numbers in Cube Roots 1 to 100 are Rational?

The numbers 1, 8, 27, and 64 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 numbers 1, 8, 27, and 64 are rational numbers.