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# You are told that 1,331 is a perfect cube. Can you guess without factorisation is its cube root? Similarly, guess the cube roots of 4913,12167,32768

**Solution:**

**
**__1331:__

It lies between $10^3$ = 1000 and $20^3$ = 8000 and it’s last digit is 1. Cube of 1 is 1

cube root of 1331 = 11

__4913:__

It lies between $10^3$ = 1000 and $20^3$ = 8000 and it’s last digit is 3. It is the last digit of the cube of 7,

so, cube root of 4913 = 17

__12167:__

It lies between $20^3$ = 8000 and $30^3$ = 27000 and it’s last digit, 7. It is the last digit of the cube of 3,

so, cube root of 12167 = 23

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