Question

Q.No.9. Find the cube root of 857375 using estimation technique.
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Answer 1

Answer:

95

Explanation:

Making Groups

857 375

G-1 G-2 (G=Group)

the cube root of a perfect cube ending with 5 will have 5 in units

875375 will have 5 in units place

Moving To the Second Step:

Which says that it should lies between cubes of two consecutive number then ten digit should be counted while considering the smaller cube

We Have,

857

it lies between the cube of 9 and 10

${9}^{3} = 729 < 875 < {10}^{3} = 1000$

therefore the tens digit will be 9

=>

$\sqrt[3]{857375} = 95$

Please ,

MARK AS BRAINLIEST

Answer 2

Answer:

This may help you

Explanation:

We have number: 857375

This number can also be written in estimation technique by grouping 3 numbers in each group so, 857 and 375 in 1st and second group

the cube root of a perfect cube ending with 5 will have 5 in unit place

This number will have 5 in unit place.

Next the is that:-

It should lie between cubes of two consecutive numbers and the ten's digit should be counted while considering the smaller cube.

We have 857, it lies between the cube of 9 and 10

9³=729<875<10³=1000

Therefore,the ten's place digit will be 9.

Therefore,

³√857375=95