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  • 20-09-2018
  • Mathematics
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Express in simplest a+bi form: Square root of 1b + Square root of -1b

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lisboa lisboa
  • 20-09-2018

Express in simplest a+bi form: Square root of 1b + Square root of -1b

[tex]\sqrt{1b} + \sqrt{-1b}[/tex]

Lets simplify [tex]\sqrt{-b}[/tex]

We know [tex]\sqrt{-1} = i[/tex]

[tex]\sqrt{-b} =i\sqrt{b) [/tex]

We cannot simplify [tex]\sqrt{1b}[/tex]

[tex]\sqrt{1b} + \sqrt{-1b}[/tex]

[tex]\sqrt{1b} + i\sqrt{b}[/tex]

So a + ib form is [tex]\sqrt{1b} + i\sqrt{b}[/tex]


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