Question

10648 find cube root by estimation method

Answer 1

Answer:

The no of digits in 10648 are 5.

n=5

n+1/2=4/2=2

So cube root of 10648 contains 2 digits.

Let 10 be the second group & 648 be the first group.

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.

{2}^{3} < 10 < {3}^{3}2

3

<10<3

3

10 is nearer to cube of 2.

So,

\sqrt[3]{10648} = 22

3

10648

=22