We have heard many people saying that there is actually no shortcut to obtain cube root of a number. This is not true. In fact, there are ways to quickly, easily and accurately calculate the cube root of a given number. These ways when mastered, can help you get the cube root of a number in less than 5 seconds.
We are now going to look at the easiest and fastest way of calculating cube root of a number in this article.
The first and the most important step isto memorize the cubes of 1 to 9. These would form an important part of your tool-kit in solving the cube roots. Here is a table for yourconvenience
1 - 1
2 - 8
3 - 27
4 - 64
5 - 125
6 - 216
7 - 343
8 - 512
9 – 729
Once you memorize this list the next step is to remember the last digit (unit digit) of each of these cubes. Here is the list again, only with unit digits this time.
1 - 1
2 - 8
3 - 7
4 - 4
5 - 5
6 - 6
7 - 3
8 - 2
9 – 9
Now that you have memorized the cubes of first 9 natural numbers and their unit digits, you are all set to amaze your friends by calculating cube roots in less than 5 seconds.
Question 1 - Find the cube root of 50653.
Here is how to solve this.
The first step is to divide the number into 2 parts by separating the last 3 digits. So, we get 50 & 563 as the two parts of the number.
Now take the first part and find the largest cube contained in the first part 1.e. 50 = 27 (which is cube root of 3). The next cube i.e. 64 (cube root of 4) is larger than 50. Now, as 27 is the cube of 3, your tens part of cube root will be 3
[That is why we memorized the cubes]
SCO 46, II Floor, Main Market, Sector 7, Karnal-132001 (Haryana)
+91-8295556666 / +91-9896581114 ǀgeniusclasses.co.in ǀ support@geniusclasses.co.in

The next step is to take the last digit of the number, which is the case is 3. Which number’s cube had 3 as the unit digit? 7 … right? (7* 7* 7 = 343) Hence, 7 is the unit digit of your solution. *This is why we memorized the endings+
So, your answer is 37. Try cubing 37 on a calculator to verify your answer.
Let us solve another example to solve how the answer can be achieved in less than 5 seconds.
Question 2 - Calculate the cube root of 941192
By step 1 - We get two parts i.e. 941 and 192
By step 2 – The largest cube less than 941 is 729 (cube of 9). So ten’s digit is 9.
By step 3 - The ending digit is 2. Hence, unit’s digit is 8. That’s it. 98 is the answer.
Practice it a bit and you would be able to solve this in even less than 5 seconds.
SCO 46, II Floor, Main Market, Sector 7, Karnal-132001 (Haryana)
+91-8295556666 / +91-9896581114 ǀgeniusclasses.co.in ǀ support@geniusclasses.co.in