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+5
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avatar+18539 

1/i = -i   or ?

the solution of the calculator is = i     ?????

heureka  Sep 18, 2014

Best Answer 

 #1
avatar+90127 
+5

$$\\\frac{1}{i}\\\\
=\frac{1}{\sqrt{-1}}\\\\
=\frac{1}{\sqrt{-1}}\times \frac{\sqrt{-1}}{\sqrt{-1}}\\\\
=\frac{1\sqrt{-1}}{-1}\\\\
=\frac{\sqrt{-1}}{-1}\\\\
=-i$$

 

That is what I get anyway!  And WolfraAlpha agrees with me.  There seems to be a problem with the site calc.

Melody  Sep 18, 2014
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1+0 Answers

 #1
avatar+90127 
+5
Best Answer

$$\\\frac{1}{i}\\\\
=\frac{1}{\sqrt{-1}}\\\\
=\frac{1}{\sqrt{-1}}\times \frac{\sqrt{-1}}{\sqrt{-1}}\\\\
=\frac{1\sqrt{-1}}{-1}\\\\
=\frac{\sqrt{-1}}{-1}\\\\
=-i$$

 

That is what I get anyway!  And WolfraAlpha agrees with me.  There seems to be a problem with the site calc.

Melody  Sep 18, 2014

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