Find the tens digit of the cube root of each of the numbers in Q.No.15.

(i) 226981


(ii) 13824


(iii) 571787


(iv) 175616

(i) 226981


Let’s take number 226981.


Unit digit = 1


So unit digit in the cube root of 226981 = 1


After striking out the units, tens and hundreds digits of 226981,


Now we left with 226 only.


As we know that 6 is the Largest number whose cube root is less than or equals to 226(63<226<73).


So,


The tens digit of the cube root of 226981 is 6.


(ii) 13824


Let’s take number 13824.


Unit digit = 4


So unit digit in the cube root of 13824 = 4


After striking out the units, tens and hundreds digits of 13824,


Now we left with 13 only.


As we know that 2 is the Largest number whose cube root is less than or equals to 13(23<13<33).


So,


The tens digit of the cube root of 13824 is 2.


(iii) 571787


Let’s take number 571787.


Unit digit = 7


So unit digit in the cube root of 571787 = 3


After striking out the units, tens and hundreds digits of 571787,


Now we left with 571 only.


As we know that 8 is the Largest number whose cube root is less than or equals to 571(83<571<93).


So,


The tens digit of the cube root of 571787 is 8.


(iv) 175616


Let’s take number 175616.


Unit digit = 6


So unit digit in the cube root of 175616 = 6


After striking out the units, tens and hundreds digits of 175616,


Now we left with 175 only.


As we know that 5 is the Largest number whose cube root is less than or equals to 175(53<175<63).


So,


The tens digit of the cube root of 175616 is 5.


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