What is the cube root of 38 (∛38)? How do you estimate the cube root of 38? How do you calculate the approximate cube root of 38 without a calculator? How do you find the cube root of 38 with a calculator?
First things first! The cube root of 38 is the number that when multiplied by itself twice equals 38. In other words, the cube root of 38 is the A in the following notations: A × A × A or A³.
Here is how to calculate the approximate cube root of 38 without a calculator by using a cube root estimate formula.
We start by finding the perfect cube that is closest to 38. Looking at the list of perfect cubes at the bottom of this page, we can see that 27 is the closest perfect cube to 38.
The formula to estimate the cube root of any number (n) using the closest perfect cube (c) is as follows:
∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))
When we enter n = 38 and c = 27 into our cube root formula, we get the approximate cube root of 38 as follows:
∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))
∛38 ≈ ∛27 + ((38 - 27) ÷ ((∛27)² × 3))
∛38 ≈ 3 + (11 ÷ 27)
∛38 ≈ 3.4
To get a more exact answer to the cube root of 38 using a calculator, we can press 38, followed by the [∛] button, to get this answer:
∛38 ≈ 3.36197540679896
Cube Root Calculator
We can do more than calculate the cube root of 38. Enter another cube root below for us to work on!
Cube root of 39
Here is the next cube root on our list that we have calculated for you.
Here is a list of the first 50 perfect cubes. We recommend you study and learn the pattern so you can easily approximate the cube root of any number in the future.
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
7³ = 343
8³ = 512
9³ = 729
10³ = 1000
11³ = 1331
12³ = 1728
13³ = 2197
14³ = 2744
15³ = 3375
16³ = 4096
17³ = 4913
18³ = 5832
19³ = 6859
20³ = 8000
21³ = 9261
22³ = 10648
23³ = 12167
24³ = 13824
25³ = 15625
26³ = 17576
27³ = 19683
28³ = 21952
29³ = 24389
30³ = 27000
31³ = 29791
32³ = 32768
33³ = 35937
34³ = 39304
35³ = 42875
36³ = 46656
37³ = 50653
38³ = 54872
39³ = 59319
40³ = 64000
41³ = 68921
42³ = 74088
43³ = 79507
44³ = 85184
45³ = 91125
46³ = 97336
47³ = 103823
48³ = 110592
49³ = 117649
50³ = 125000