Evaluate- - 35 - 12i - -35 - 12i

We know that √( 1)=i . So, √( 35)+12i √( 35) 12i=√(35)i+12i √(35)i 12i=0 ...

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Chain Rule of Differentiation

Evaluate: √-...

Question

Evaluate:
$\sqrt{- 35} + 12 i - \sqrt{- 35} - 12 i$

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Solution

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\sqrt{- 35 + 12 i} - \sqrt{- 35 - 12 i} =

\sqrt{- 35 + 12 i} - \sqrt{- 35 - 12 i} = p

$\frac{\sqrt{5 + 12 i} + \sqrt{5 - 12 i}}{\sqrt{5 + 12 i} - \sqrt{5 - 12 i}} =$

\frac{\sqrt{(5 + 12 i)} + \sqrt{(5 - 12 i)}}{\sqrt{(5 + 12 i)} - \sqrt{(5 - 12 i)}}

\frac{\sqrt{5 + 12 i} + \sqrt{5 - 12 i}}{\sqrt{5 + 12 i} - \sqrt{5 - 12 i}} = a + i b, b < 0

a - 2 b

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