Question

Find the cube root of 10648 through estimation method.

Answer 1

Answer:

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

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