Question

find the cube root of 10648 using estimation method ​

Answer 1

Answer:

From the first group the unit place of 648 is 8. So cube root of 8 is 2. So, unit place of cube root of 10648 is 2.

Let us consider the given number as two groups starting from the unit digit.

Here the groups are: 648 which is the first group and 10 which is the second group.

From the first group we calculate the unit digit.

The unit digit of 648 is 8=2³. Therefore the unit digit of our required number is 2.

Now considering the second group for the 10's digit,

8>10>27

i.e., 2³>10>3³.

Here we choose the smaller number that is 2 as our 10's digit.

∴, ∛10648=22