Question

Find the cube root of 32768

Answer 1

32768=2x2x2x2x2x2x2x2x2x2x2x2x2x2x2
          =2³x2³x2³x2³x2³
 ∛(32768)=∛(2³x2³x2³x2³x2³)
                =2x2x2x2x2
                =32           

Answer 2

Answer:

The cube root of 32768 is 32.

Step-by-step explanation:

To find : The cube root of 32768 ?

Solution :

First we factor the number 32768,

$32768=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

Now, Pair numbers in cubic form

$32768=2^3\times 2^3\times 2^3\times 2^3\times 2^3$

$32768=(2\times 2\times 2\times 2\times 2)^3$

$32768=(32)^3$

Taking cube root both side,

$\sqrt[3]{32768}=32$

Therefore, The cube root of 32768 is 32.