What is the cube root of 65 (∛65)? How do you estimate the cube root of 65? How do you calculate the approximate cube root of 65 without a calculator? How do you find the cube root of 65 with a calculator?

First things first! The cube root of 65 is the number that when multiplied by itself twice equals 65. In other words, the cube root of 65 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 65 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 65. Looking at the list of perfect cubes at the bottom of this page, we can see that 64 is the closest perfect cube to 65.

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 = 65 and c = 64 into our cube root formula, we get the approximate cube root of 65 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛65 ≈ ∛64 + ((65 - 64) ÷ ((∛64)² × 3))

∛65 ≈ 4 + (1 ÷ 48)

**∛65 ≈ 4.02**

To get a more exact answer to the cube root of 65 using a calculator, we can press 65, followed by the [∛] button, to get this answer:

**∛65 ≈ 4.02072575858906**

**Cube Root Calculator**

We can do more than calculate the cube root of 65. Enter another cube root below for us to work on!

Cube root of 66

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