First step in finding the cube root of any number between 1 and 100, you will have to learn cube of numbers from 1 to 12.
13= 01 73= 343
23= 08 83= 512
33= 27 93= 729
43= 64 103= 1000
53= 125 113= 1331
63= 216 123= 1728
Note: The unit place on cubing 1, 4, 5, 6, 9 and 0 is same but the unit place on cubing 2, 3, 7, 8 are not same.
Cube of 2’s unit place is 8; and cube of 8’s unit place is 2.
Similarly, the cube of 3’s unit place is 7; and cube of 7’s unit place is 3.
One can easily find the cube root of any number between 13 and 100.
- Find cube root of 2197.
Step 1: Take last 3 digits aside i.e. 197.
Step 2: Now, you can see the last digit of number 197 is ‘7’ which a unit place digit of 33. It means the number (cube root of 2197) contains ‘3’ in its unit place.
Step 3: Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘2’ of number 2197.
Step 4: You can see that ‘2’ (of number 2197) is larger than 1 (cube of 1).
Step 5: Finally, you know the cube root of 2197 by combining the steps 2 and 4, which gives you the answer i.e. 13
- Find the cube root of 262144.
Step 1: Take last 3 digits aside i.e. 144.
Step 2: Now, you can see the last digit of number 144 is ‘4’ which a unit place digit of 43. It means the number (cube root of 262144) contains ‘4’ in its unit place.
Step 3: Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘262’ of number 262144.
Step 4: You can see that ‘262’ (of number 262144) is larger than 216 (cube of 6).
Step 5: Finally, you know the cube root of 262144 by combining the steps 2 and 4, which gives you the answer i.e. 64
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