Question

Question 3(iii)
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
32768

Answer 1

We know that ${10}^3$ = 1000 and Possible cube of ${11}^3$ = 1331
Since, cube of unit’s digit 11 = 1
Therefore, cube root of 1331 is11.
32768
We know that $2^3$ =8
Here in cube, ones digit is 8
Now next number with 2 as ones digit ${12}^3$ = 1728
And next number with 2 as ones digit ${22}^3$ = 10648
And next number with 2 as ones digit ${32}^3$ = 32768
Hence cube root of 32768 is 32.