Question

guess the cube root of the following number:12167​

Answer 1

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.