Question

cube root of 32768 Answer with solution

Answer 1

13.4539
it is the cube root of 32768

Answer 2

Answer:

32

Step-by-step explanation:

Given : Number = 32768

To Find : cube root of 32768

Solution:

We will use Prime Factorization to find cube root of 32768

2 | 32768

2 | 16384

2 | 8192

2 | 4096

2 | 2048

2 | 1024

2 | 512

2 | 256

2 | 128

2 | 64

2 | 32

2 | 16

2 | 8

2 | 4

2 | 2

  | 1

So, $32768=2 \times 2 \times 2 \times 2 \times 2 \times 2\times 2 \times 2 \times 2\times 2 \times 2 \times 2\times 2 \times 2 \times 2$

$32768=2^15$

$\sqrt[3]{32768} =\sqrt[3]{2^15}$

$\sqrt[3]{32768} =2^5$

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

Hence cube root of 32768 is 32.