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bearhunter [10]
2 years ago
11

What is the sum of √-2 and √-18? O 4√2 O 4√21 O 5√2 O 5√21

Mathematics
1 answer:
Deffense [45]2 years ago
6 0

Answer:

4 \sqrt{2}  \: i

Step-by-step explanation:

\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

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