Vedic / Quicker / Shortcut Math ⇒ Topic : Find Cube root of Any 5 or 6 Digit number
|Shortcut to find cube root is especially helpful in competitive exams where every second counts.|
By using this method you can save a lot of time and also get accurate results.
Shortcut to mentally find the cube root of any 5 or 6 digit numberStep 1:Find the cube root of the last digit.
Points to be remembered while using this method.
(1)If the last digit is 8 then cube root will be 2.
(2)If the last digit is 2 then cube root will be 8.
(3)If the last digit is 7 then cube root will be 3.
(4)If the last digit is 3 then cube root will be 7.
(5)If the last digit is any other digit other than 2,8,3,7 then put the same number.
From this step you will get the unit's or one's place digit.
To find the tenth place digit you need to follow the below steps.
Step 2:Strike out the last 3 digits of the given number.Step 3: find the nearest cube of the remaining number.
Step 4: find the cube root of the nearest cube which will give you ten's place digit.
List of cubes to be memorized
13=1 43=64 73=343
23=8 53=125 83=512
33=27 63=216 93=729
NOTE: Shortcut to find cuberoot of any 5 or 6 digit number is applicable only if the given number is a perfect cube.
You can verify whether the given number is a perfect cube or not by using the Prime Factorization Method. If you are not familiar with this method check it here.
Let me explain this with an example to make things more clear and easy to understand.
So lets say we want to find the cube root of a 6 digit number 15746
Example 1:Find the cube root of 157464 in 5 seconds.
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