Question

FIND THE TENS DIGIT OF THE CUBE ROOT OF [A] 13824 [B] 571787 [C] 175616

Answer 1

Step-by-step explanation:

(i) 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.

(ii) 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.

(iii) 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.