Question

Find the cube root of 46656 by estimation and prime factor

Answer 1

Step-by-step explanation:

Answer

(i) Resolving 46656 into Prime factors as follows :

Step I. Make groups of three digits starting from unit place digit as 46 656.

Step II. 1st group is 656. ...

We know that 63 = 216.

Step III. Second group is 46.

33 < 46 < 43

∴ Ten place digit is 3.

Hence, cube root of 46656 is 36.

I hope this will help you