1.

Find the tens digit of the cube root of each of the following numbers  (i) 226981(ii) 13824(iii) 571787(iv) 175616

Answer»

(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.



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