The unit digit in the cube of the number 133 is.
Answers
Answer:
By grouping the digits, we get 1 and 331
We know that, since, the unit digit of cube is 1, the unit digit of cube root is 1.
∴ We get 1 as unit digit of the cube root of 1331.
The cube of 1 matches with the number of second group.
∴ The ten's digit of our cube root is taken as the unit place of smallest number.
We know that, the unit’s digit of the cube of a number having digit as unit’s place 1 is 1.
\therefore \sqrt[3]{1331}=11∴
3
1331
=11
By grouping the digits, we get 4 and 913
We know that, since, the unit digit of cube is 3, the unit digit of cube root is 7.
∴ we get 7 as unit digit of the cube root of 4913.
We know 1^{3}=1 \text { and } 2^{3}=81
3
=1 and 2
3
=8 , 1 > 4 > 8.
Thus, 1 is taken as ten digit of cube root.
\therefore \sqrt[3]{4913}=17∴
3
4913
=17