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Question 3(ii)
You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 12167


Solution

We know that 103 = 1000 and Possible cube of 113 = 1331
Since, cube of unit’s digit 11 = 1
Therefore, cube root of 1331 is11.
12167
We know that 33=27
Here in cube, ones digit is7
Now next number with 3 as ones digit 133 = 2197
And next number with 3 as ones digit 233 = 12167
Hence cube root of 12167 is 23.


Mathematics

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