Question

find the cube root of 4913 using estimation method ( vilokonam)​

Answer 1

Answer:

17

Step-by-step explanation:

For calculating the cube root of 4913, this has to be separated in to 3 groups starting from rightmost digit.

The group 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 it's cube root will have 7 at its units place only. Therefore the digit at units place of the required cube root is taken as 7.

Now considering the other group 4

We know that 1^3=1 and 2^3=8

Also, 1<4<8

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

So, final answer is 17.

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