Question

what is the smallest number by which each of the following numbers must be multiplied so that the product is a perfect cube ,Also find the cube root of the product

q. 6912​

Answer 1

Answer:

2

Step-by-step explanation:

Prime factorising 6912, we get,

6912=2×2×2×2×2×2×2×2×3×3×3

=2

8

×3

3

.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 8 and number of 3's is 3.

So we need to multiply another 2 to the factorization to make 6912 a perfect cube.

Hence, the smallest number by which 6912 must be multiplied to obtain a perfect cube is 2.

Answer 2

Answ sorry I don't know answer