(i) 226981
Unit digit of 226981 = 1
Cube root of 226981 = 1
After striking out the units, tens and hundreds digits of 226981, now we left with 226 only.
We know that 6 is the Largest number whose cube root is less than or equal to 226(63<226<73).
∴ The tens digit of the cube root of 226981 is 6.
(ii) 13824
Unit digit of 13824 = 4
Cube root of 13824 = 4
After striking out the units, tens and hundreds digits of 13824, now we left with 13 only.
We know that 2 is the Largest number whose cube root is less than or equal to 13(23<13<33).
∴ The tens digit of the cube root of 13824 is 2.
(iii) 571787
Unit digit of 571787 = 7
Cube root of 571787 = 3
After striking out the units, tens and hundreds digits of 571787, now we left with 571 only.
We know that 8 is the Largest number whose cube root is less than or equals to 571(83<571<93).
∴ The tens digit of the cube root of 571787 is 8.
(iv) 175616
Unit digit of 175616 = 6
Cube root of 175616 = 6
After striking out the units, tens and hundreds digits of 175616, now we left with 175 only.
We know that 5 is the Largest number whose cube root is less than or equals to 175(53<175<63).
∴ The tens digit of the cube root of 175616 is 5.