Question

Solve 32768 in estimate method

Answer 1

Answer:

Step-by-step explanation:

➡️The square root of 32768 is 181.01933598376.

⏩ The cube root of 32768 is 32.

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

Answer 2

Answer:

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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