Adding [tex]\sqrt{-2}\,\,and\,\,\sqrt{-18}[/tex] we get [tex]4\sqrt{2i}[/tex]
Option C 4 StartRoot 2 EndRoot i is correct.
Step-by-step explanation:
We need to find the sum of: [tex]\sqrt{-2}\,\,and\,\,\sqrt{-18}[/tex]
Finding sum:
[tex]\sqrt{-2}+\sqrt{-18}[/tex]
[tex]\sqrt{-2}[/tex] can be written as [tex]\sqrt{2}i[/tex]
[tex]\sqrt{-18}[/tex] can be written as [tex]\sqrt{18}i[/tex]
We know 18 = 2x3x3 = 2x3^2 so,
[tex]\sqrt{2i}+\sqrt{2\times 3^2}i[/tex]
[tex]\sqrt{2i}+3\sqrt{2}i[/tex]
Adding like terms:
[tex]4\sqrt{2i}[/tex]
So, adding [tex]\sqrt{-2}\,\,and\,\,\sqrt{-18}[/tex] we get [tex]4\sqrt{2i}[/tex]
Option C 4 StartRoot 2 EndRoot i is correct.
Keywords: Square root expressions
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