Question

Find cube root of 10648 by estimation

Answer 1

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.
${2}^{3} < 10 < {3}^{3}$
10 is nearer to cube of 2.
So,
$\sqrt[3]{10648} = 22$

Answer 2

so estimated root of 10648 =22