Question

without prime factorisations method find the cube root of 12167

Answer 1

at first see value of number is above than cube of which ,10,20,30,40.......

we can easily find cube of any of the above number so .

here 12167

8000 cube of 20

first digit of number is 2

now

what is last digit


if last digit of number is 1 means cuberoot of that number s last digit is 1

,,,,,,,,,,,2------------------8
---------3.......................7
----------4----------------–4
-----------5----------–-----5
-----------6------------------6
-----------7------------------3
------------8------------------2
______9__________9

here last digit is 7

so last digit of cube root of 12167 is 3

Cuberoot of 12167 is 23.

Answer 2

Answer:

23

We know

20^3 = 8000

30^3 = 27000

It lies between 20^3 and 30^3

since the last digit is 7,

which obtained only in the cube of 23^3

Therefore, 3√12167 = 23