Question

Find the cube root of 10648 through estimation​

Answer 1

Answer:

Step-by-step explanation:

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 = 2^3

Therefore the unit digit of our required number is 2.

Now consider the second group for the 10s digit,

8 < 10 <27

i.e., 2^3 < 10 < 3^3

As the smallest number is 2, it becomes the tens place of the required cube root.

So, 3√10648 = 22

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Answer 2

Step-by-step explanation:

step =grouping

1 st =648

2 nd = 10

step= now considering the second group is 10

8>10>2

3 3

2 >10 >3

Here we choose the smaller number that is 2 as

our 10 digit

• Cube root of 10648 = 22