Question

what is cube root of 941192 through estimation method​

Answer 1

Answer:

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Step-by-step explanation:

Make group of 3 digit, starting from right.

The unit digit of cube root will be. Unit digit of cube root of 857375 = Unit digit of cube root of 375. Since 375 ends in 5, it's cube root will end in 5. (As 5 3 = 12 5 , 1 5 3 = 337 5 )

Now, for second group. 8 5 7. We note that. 9 3 = 729. & 10 3 = 1000. So, 729 < 857 < 1000.

Answer 2

Concept

The number obtained by multiplying a number 3 times by itself is known as the cube of the number.

Given

a number 941192

Find

we need to find the cube root of the given number through estimation method​

Solution

Firstly we look at the unit digit of 941192

the unit digit is 2 which means that the unit digit of the cube root will be 8 as $8^{3}$ = 512, which also ends in 2.

Now we ignore the last digit and look at the remaining digits that are 941

941 lies between the cube of 9 and 10, that is,

729 < 941 < 1000

Thus, we can infer that the other digit of the cube root will be 9

Therefore, by estimation, we get the cube root of 941192 as 98.

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