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# 1/i = -i or ?

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1/i = -i   or ?

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

heureka  Sep 18, 2014

### Best Answer

#1
+91477
+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
+91477
+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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