Question

Find the cube root of 35937 by estimation method

Answer 1

35937 by estimation

lets look at the units place first and 3 is the number whose cube ends in 7

so the units place of cube root of 35937 will be 3

now we will eliminate last three numbers and consider 35 only

35 is closest to which number's cube and that is 3 cube = 27

so the first number will be 3

35937 is the cube of 33

Answer 2

first divide it into groups
starting from the right most digit

1 st group= 937
2 nd group= 35

take the first group
937
we know that the unit digit of the cube will end with 3

take the second group 35

3^3 < 35 < 4^3

27 < 35 < 64

.
. . 33^3 = 35937