Cube Root formula of Perfect Cubes of 1 to 100 | Cube root formula in math

How to find cube root of a number quickly | Cube Root Calculator

The cube root of a number means it is a value of that, when used in a multiplication by itself in three times, gives that number.

In this page explained about one simple and easy tip for finding Cube Roots of Perfect Cubes  of two digits numbers. By this cube root formula we find cube root in fraction of seconds.

These points to be remember for this cube root formula.

1. 1. The given number should be perfect two digit cube.
   2. Remember cubes of 1 to 10 numbers.
   3. As per the cubes identify as follow as below table.

13 = 1	If last digit of perfect cube number =1, last digit of cube root for that number=1
23 = 8	If last digit of perfect cube number =8, last digit of cube root for that number=2
33 = 27	If last digit of perfect cube number =7, last digit of cube root for that number=3
43 = 64	If last digit of perfect cube number =4, last digit of cube root for that number=4
53 = 125	If last digit of perfect cube number =5, last digit of cube root for that number=5
63 = 216	If last digit of perfect cube number =6, last digit of cube root for that number=6
73 = 343	If last digit of perfect cube number =3, last digit of cube root for that number=7
83 =512	If last digit of perfect cube number =2, last digit of cube root for that number=8
93 = 729	If last digit of perfect cube number =9, last digit of cube root for that number=9
103 = 1000	If last digit of perfect cube number =0, last digit of cube root for that number=0

If we put interest on mathematics then it is a very interesting subject and easy to learn. Now let’s see how we can easily find out cube roots of perfect cubes with in fraction of seconds.

Take examples to easily understand the cube root formula

Example 1: Find Cube Root of 13824

Step 1

Identify the last three digits from right side and make group of these three digits

i.e., 13 – 824

Step 2

Take the last group which is 824. And then find the last digit of 824 is 4

According to above table if last digit having 4 then last digit of cube root for that number is 4

Hence the right most digit of the cube root of the given number is 4

Step 3

Take the next group which is 13

Find out the value of 13 lies in between the cube of the numbers 2³ and 3³

8 < 13 < 27

Take small cube number i.e “ 2 “

Hence the left neighbor digit of the answer is 2

So our answer = 24

Example 2: Find Cube Root of 175616

Step 1

Identify the last three digits from right side and make group of these three digits

i.e., 176 – 616

Step 2

Take the last group which is 616. And then find the last digit of 616 is 6

According to above table if last digit having 6 then last digit of cube root for that number is 6

Hence the right most digit of the cube root of the given number is 6

Step 3

Take the next group which is 176

Find out the 176 lies in between the cube of the numbers i.e 5³ and 6³

125 < 176 < 216

Take small cube number i.e “ 5 “

Hence the left neighbor digit of the answer is 5

So our answer = 56

Example 3: Find Cube Root of 804357

Step 1

Identify the last three digits from right side and make group of these three digits

i.e., 804 – 357

Step 2

Take the last group which is 357. And then find the last digit of 357 is 7

According to above table if last digit having 7 then last digit of cube root for that number is 3

Hence the right most digit of the cube root of the given number is 3

Step 3

Take the next group which is 804

Find out the 176 lies in between the cube of the numbers i.e 9³ and 10³

729 < 804 < 1000

Take small cube number i.e “ 9 “

Hence the left neighbor digit of the answer is 9

So our answer = 93

Example 4: Find Cube Root of 438976

Step 1

Identify the last three digits from right side and make group of these three digits

i.e., 438 – 976

Step 2

Take the last group which is 976. And then find the last digit of 976 is 6

According to above table if last digit having 6 then last digit of cube root for that number is 6

Hence the right most digit of the cube root of the given number is 6

Step 3

Take the next group which is 438

Find out the 438 lies in between the cube of the numbers i.e 7³ and 8³

343 < 438 < 512

Take small cube number i.e “ 7 “

Hence the left neighbor digit of the answer is 7

So our answer = 76

Friend it is very cube root formula for perfect cubes. Once if we understand the logic we can answered  easily with in fraction of seconds.

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