Question

Cube root of 32768 by estimation

Answer 1

32768 =2×2×2×2×2=32.

Answer 2

$Heya\:$

➡️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