Math, asked by SHREYADAS23, 1 year ago

find the cube root of 32768 by estimation method !!!???

Answers

Answered by Arcel
128

Cube root of 32768

We shall separate 32768 in to groups.

The groups are 32 and 768.

768 ends with 8. We know that if the digit 8 at the units place of perfect cube number, then its cube root will have 2 at its units place only. So, the digit at the units place of the required cube root is taken as 2.

Now, considering the other group 32.

3³ = 27 and 4³ = 64

Ans also, 3 < 32 < 64

3 is smaller than 4, so 3 will be taken as the digit at the tens place of the required cube root. 

∛32768 32


Hope this helped!!!


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Answered by Malhotra13aryan
41

Answer:

32

Step-by-step explanation:

first we take the last digit which is 8

now, 8 is a perfect cube of 2

so here to will replace the last three digits. here they are 768

now for the first 2 digits which is 32 , we find the nearest perfect cube which is smaller than 32.

In this case it is 27 which is the cube of 3

therefore, are answer comes as 32

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