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20 August, 14:55

Simplify 2 times the square root of negative 50 plus the square root of negative 72.

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Answers (2)
  1. 20 August, 17:47
    0
    16i (√2)

    Step-by-step explanation: i=√-1

    √ (-50) = √-1 * √ (2*25) = i*√2*√25 = 5i*√2

    2 (5i√2) = 10i * (√2)

    √ (-70) = √-1*√ (2*36) = i * √2*√36 = 6i*√2

    10i * (√2) + 6i * (√2) = 16i + √2
  2. 20 August, 18:46
    0
    16i√2

    Step-by-step explanation:

    Given to simplify

    2√-50 + √-72

    You know √-1 = i

    2√ (-50) = 2*√2*25

    2*√2*√25 = 2*√2*5

    2*5*i*√2

    2√ (-50) = 10i√2

    √ (-72) = √2*36

    =√2*√36

    =√2*6i

    √-72=6i√2

    Addition

    10i√2 + 6i√2 = (10i+6i) √2 = 16i√2
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