Answer:
[tex]4 \sqrt{2} i[/tex]
Step-by-step explanation:
We want to find the sum of
[tex] \sqrt{ - 2} + \sqrt{ - 18} [/tex]
We can rewrite this as
[tex]\sqrt{ 2 \times - 1} + \sqrt{ 18 \times - 1} [/tex]
This becomes;
[tex] \sqrt{2} \times \sqrt{ - 1} + \sqrt{18} \times \sqrt{ - 1} [/tex]
Recall that;
[tex]i = \sqrt{ - 1} [/tex]
This implies that;
[tex] \sqrt{2} i + 3 \sqrt{2} i[/tex]
Combine like terms:
[tex]4 \sqrt{2} i[/tex]
