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.
-
- 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 = 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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