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24 May, 20:04

Simplify 6 plus the square root of negative 80.

6 plus 16 times the square root of 5 i

6 plus 4 i times the square root of 5

6 plus 16 i times the square root of 5

6 plus 4 times the square root of 5 i

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  1. 24 May, 20:28
    0
    6 plus 4 i times the square root of 5

    Step-by-step explanation:

    The given statement can be written as:

    6+√-80

    To solve √-80 re-write - 80 as - 1 * 80

    Now √-80 = √-1 * 80

    Now we can write it as:

    6 + √-1 * √80

    We know that √-1 = i

    Thus it becomes:

    6 + i√80

    Now find the square root of 80

    80 does not have a perfect square root

    Its square root can be found as 80 = 4*4*5

    Then,

    6+i√4*4*5

    Notice that 4 makes a pair ... So we will write it outside the square root

    6+1*4√5

    We will write it as:

    6+4i√5

    Thus the correct option is 6 plus 4 i times the square root of 5 ...
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