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.

1

^{3}= 01 7^{3}= 3432

^{3}= 08 8^{3}= 5123

^{3}= 27 9^{3}= 7294

^{3}= 64 10^{3}= 10005

^{3}= 125 11^{3}= 13316

^{3}= 216 12^{3}= 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.

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**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 3

^{3}. 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 4

^{3}. 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*__Practice:__

1. Find the cube root of *474552.*

2. Find the cube root of* 140608.*

3. Find the cube root of* 704969.*

4. Find the cube root of* 421875.*

5. Find the cube root of* 79507*.

6. Find the cube root of *175616*.

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