(i) -125
-125 = ∛-125
= -∛125
= ∛ (5×5×5)
= -5
(ii) -5832
-5832 = ∛-5832
= -∛5832
Where, unit digit of 5832 = 2
Unit digit in the cube root of 5832 will be 8
After striking out the units, tens and hundreds digits of 5832,
Now we left with 5 only.
As we know that 1 is the Largest number whose cube is less than or equal to 5.
So, the tens digit of the cube root of 5832 is 1.
∛-5832 = -∛5832
= -18
(iii) -2744000
∛-2744000 = -∛2744000
2744000 = 2×2×2×2×2×2×5×5×5×7×7×7
2744000 = (2×2×2) × (2×2×2) × (5×5×5) × (7×7×7)
= 2×2×5×7
= 140
∴ ∛-2744000 = -∛2744000
= -140
