Question

find the cube roots of the following numbers by estimation method 12167

Answer 1

Hi my friend its cube root is 23
Let us separate this number into two groups 12 and 167
Now this 167 is ends with 7 and its cube root ends with 3.
12 ends with 2
2 cube is 8 and 3 cube is 27
so, cube root is 23

Answer 2

Cube root of 12167

We shall separate 12167 in to groups.

The groups are 12 and 167

167 ends with 7 and we know that if 7 is at the units place of any perfect cube number then its cube root will have 3 at its units place only. therefore, the digit at the units place of the required cube root is taken as 3.

Now considering the other group 12.

2³ = 8 and 3³ = 27

And also 8 < 12 < 27

2 is smaller than 3, therefore 2 will be taken as the digit at tens place of the required cube root.

Thus,

∛12167 = 23

Answer.