Question

What is the formula of cube root
in another ways

Answer 1

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.

The given number should be perfect two digit cube.

Remember cubes of 1 to 10 numbers.

As per the cubes identify as follow as below table.

13 = 1If last digit of perfect cube number =1, last digit of cube root for that number=123 = 8If last digit of perfect cube number =8, last digit of cube root for that number=233 = 27If last digit of perfect cube number =7, last digit of cube root for that number=343 = 64If last digit of perfect cube number =4, last digit of cube root for that number=453 = 125If last digit of perfect cube number =5, last digit of cube root for that number=563 = 216If last digit of perfect cube number =6, last digit of cube root for that number=673 = 343If last digit of perfect cube number =3, last digit of cube root for that number=783 =512If last digit of perfect cube number =2, last digit of cube root for that number=893 = 729If last digit of perfect cube number =9, last digit of cube root for that number=9103 = 1000If 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