Question

multiply min. no. to 768 to make it a perfect cube by prime factrisation
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Answer 1

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:

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