phillipsktm277 phillipsktm277
  • 03-06-2022
  • Mathematics
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What is the sum of √-2 and √-18?
O 4√2
O 4√21
O 5√2
O 5√21

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ghaithgh ghaithgh
  • 03-06-2022

Answer:

[tex]4 \sqrt{2} \: i[/tex]

Step-by-step explanation:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]

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