Question

How to solve this sum by estimation process in cube and cube roots: cube root of 4913 by estimation process by explaination​

Answer 1

Estimation method .

Last digit

4913 ends with 3 .

Cube of digits 7 only end with 3 . Hence the number's cube root must have 7 at it's end .

∴ example : 7³ = 343

7 is the unit place of the number .

Now see the first digit .

The first digit is 4 .

The cube of 1 = 1³ = 1

The cube of 2 = 2³ = 8

So 4 is more than 1 but less than 8 .

So the first digit has to be 1 and it cannot be 2 because that will exceed the number .

Hence the number is 17 .

Answer 2

Answer:

Step-by-step explanation:

For calculating the cube root of 4913, this number has to be separated in to groups starting from the rightmost digit

The groups are 4 and 913.

Considering the group 913

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

Now considering the other group 4

We know that 1³ = 1 and 2³ = 8

Also, 1 < 4 < 8

So, 1 will be taken at the tens place. so the required cube root of 4913 is 17.

∛4913 = 17

Answer.