Question

find the cube root of 12167 by finding their ones and tens digit.​

Answer 1

The cube root of 12167 is 23.

Step-by-step explanation:

We have to find the cube root of 12167 by finding their ones and tens digit.

Firstly, we will divide the number 12167 into two groups, i.e;

One group is 12 and another group is 167.

Now, considering the group 167, as we can see that the last digit of this number if 7 and we know that the perfect cube of any number whose last digit is 7 will have ones digit of 3 because $7^{3}$ = 343 which have ones place digit of 3.

This means that the cube root of 12167 will have digit 3 at one's place.

Now, considering the group 12;

As we know that 12 lies between the cube of the numbers 2 and 3, i.e;

$2^{3}$ = 8 and $3^{3}$ = 27

So, 8 < 12 < 27. Since 2 is smaller than 3, this means that the digit at ten's place of the cube root of 12167 will be 2.

Hence, the cube root of the number 12167 is 23.

Answer 2

Answer:

cube root of 12167 is 23

Frist step : once place of 12167 is 7 , take this as a once place

second step : find the cube root of 7 which is 343 here the once place is 3 so take it as onces place of your ans2

third step : left over is 12 which is smaller then 3 cube and greater then 2 cube so take the tens place 2 and finally our ans is 23