Find the cube root of 10648 by estimation.
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cube root of 10648 is 22
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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 consider the second group for the 10s digit,
8 < 10 <27
i.e., 23 < 10 < 33
As the smallest number is 2, it becomes the tens place of the required cube root.
So, 3√10648 = 22
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 consider the second group for the 10s digit,
8 < 10 <27
i.e., 23 < 10 < 33
As the smallest number is 2, it becomes the tens place of the required cube root.
So, 3√10648 = 22
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