please solve this question step by step

Answers
Answer:
we have,
857375.
this can be written in the estimation technique by grouping 3 numbers in each group
group
2 group
1
857 375
___ ___
the cube root of a perfect cube ending with 5 will have 5 in units
857375 will have 5 in units place.
Moving to the second step,
which says that it should lie between cubes of two consecutive number and the tens digit should be counted while considering the smaller cube
we have 857.
it lies between the cube of 9 and 10
{9}^{3} = 729 < 875 < {10}^{3 } = 10009
3
=729<875<10
3
=1000
therefore,
the tens digit will be 9
therefore,
\sqrt[3]{857375 } = 95
3
857375
=95
Answers
Step-by-step explanation:
step 1
make group of 3 digit,
starting from right
375
first group
857
second group
step 2
the unit digit of cube root will be
unit digit of cube root of
857375 = unit of cube root of 375
since 375 ends in 5,it's cube root will end in 5
(As 5^3= 125 ,15= 3375)
since unit digit of cube root = 5
cube root = 5
step 3
now, for second group
857
we note that
9^3 = 729
& 10^3 = 1000
so,
729 < 857 < 1000
9^3 < 857 < 10^3
since we take smaller number
so,9
we put 9 in ten's place of cube root
cube root = 95