Question

(VII) The cube or a single uigil number may ve
do
3. You are told that 1,331 is a perfect cube. Can you guess without factorisation what
is its cube root? Similarly, guess the cube roots of 4913, 12167,32768.​

Answer 1

Answer:

Step-by-step explanation:

Break number in three digits starting from right.

1,331 - 11  ( since 1 is unit digit, 1³=1, so unit digit = 1, smallest cube less than equal to 1 = 1 . Tens digit cube root of 1=1)

4,913 - 17  ( since 3 is unit digit, 7³=343, so unit digit = 7, smallest cube less than equal to 4 = 1 . Tens digit cube root of 1=1)

12,167 - 23  ( since 7 is unit digit, 3³=27, so unit digit = 3, smallest cube less than equal to 12 = 8. Tens digit cube root of 8=2)

32,768 - 32  ( since 8 is unit digit, 2³=8 , so unit digit = 1, smallest cube less than equal to 32 = 27 . Tens digit cube root of 27=3)