hi friends, here is a method to calculate the cube root of a number.
The first and the most important step is to memorize the cubes of 1 to 9
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
EX: find the cube root of 50653
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 i.e. in 50 = 27 (which is the cube of 3). The next cube i.e. 64 (cube of 4) is larger than 50. Now, as 27 is the cube of 3, your ten’s part of cube root would be 3.
The next step is to take the last digit of the number, which in this 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
so your answer is 37.
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.
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The first and the most important step is to memorize the cubes of 1 to 9
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
EX: find the cube root of 50653
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 i.e. in 50 = 27 (which is the cube of 3). The next cube i.e. 64 (cube of 4) is larger than 50. Now, as 27 is the cube of 3, your ten’s part of cube root would be 3.
The next step is to take the last digit of the number, which in this 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
so your answer is 37.
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.
--> Click To Download PDF
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