multiply min. no. to 768 to make it a perfect cube by prime factrisation Question multiply min. no. to 768 to make it a perfect cube by prime factrisation in progress 0 Math Isabella 1 month 2021-08-13T08:50:57+00:00 2021-08-13T08:50:57+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Hey Mate !!

The prime Factorization of 768 is,

768 = 2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 3

Here, We can see the number 2 is paired 4 times while 3 is remained unpaired.

When we multiply 768 with 3. The product is 768 × 3 = 2304

The prime Factorization of 2304 is

2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

All numbers are paired. Hence, 2304 is a perfect square. The Square root is :

= 2 × 2 × 2 × 2 × 3

= 48

Therefore,

The Square root of 2304 is 48

Step-by-step explanation:ok