Question

please solve this question step by step​

Answer 1

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

Answer 2

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