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

AcademicMathematicsNCERTClass 8

To find: 

We have to find the units digit of the cube root of the given numbers.

Solution:

Digit at the unit place of a numberDigit at the unit place of the cube
00     ($0^3=0$)
11     ($1^3=1$)
28     ($2^3=8$)
37     ($3^3=27$)
44     ($4^3=64$)
55     ($5^3=125$)
66     ($6^3=216$)
73     ($7^3=343$)
82     ($8^3=512$)
99     ($9^3=729$)

Here,

(i) The unit digit of 226981 is 1.

Therefore,

The units digit of its cube root will be 1.

(ii) The unit digit of 13824 is 4.

Therefore,

The units digit of its cube root will be 4. 

(iii) The unit digit of 571787 is 7.

Therefore,

The units digit of its cube root will be 3.  

(iv) The unit digit of 175616 is 6.

Therefore,

The units digit of its cube root will be 6.  

raja
Updated on 10-Oct-2022 13:19:09

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