Question

find the cube roots of the following number.1) 32768​

Answer 1

Answer:

32

Step-by-step explanation:

The question asks us to find the cubic root of 32768. To solve our problem, the first step would be to prime factorize our number which is equal to 32768. Thus, we get the final resulting number as 32. Hence, the cubic root of 32768 by the method of prime factorization comes out to be 32 .

[Obviously I cannot show the prime factorization here, do it yourself :)]

Hope this helps! <3

Answer 2

Answer:

Firstly let us find the factor of 32768

32768 = 32 × 32 × 32

So to find the cube root, we pair the prime factors in 3’s.

32768 = 323

Hence, cube root of 32768 = ∛(32768)

= (323)1/3  

= 32