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 4913, 12167, 32768.

We know that 10³ = 1000 and Possible cube of 11³ = 1331
Since, cube of unit’s digit 1³ = 1
Therefore, cube root of 1331 is 11.
4913
We know that 7³ = 343
Next number comes with 7 as unit place 17³ = 4913
Hence, cube root of 4913 is 17.
12167
We know that 3³ = 27
Here in cube, ones digit is 7
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.
32768
We know that 2³ = 8
Here in cube, ones digit is 8
Now next number with 2 as ones digit 12³ = 1728
And next number with 2 as ones digit 22³ = 10648
And next number with 2 as ones digit 32³ = 32768
Hence cube root of 32768 is 32.

Class 8 Maths Chapter 7 Exercise 7.2 Solution in Video

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https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-7/