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

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Isabella 1 month 2021-08-13T08:50:57+00:00 1 Answer 0 views 0

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    2021-08-13T08:52:01+00:00

    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

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