Question

Find the cube root of 3375 and 10648 by using one's place of the cube of a number​

Answer 1

Step-by-step explanation:

Resolving 3375 into Prime factors as follows :

Step I. Make groups of three digits, starting from unit place digit as 3 375.

Step II. 1st group is 375 Its unit place digit is 5 which is obtained only by the cube of any number having unit place digit 5 (53 = 125) So we get 5 at the unit’s place of the cube root.

Step III. IInd group is 3 Which is 13 < 3 < 23 Therefore, tens place digit is 1 ∴ ³√3375 = 15