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# how to calculate this with step ? 1/(2+3i)

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how to calculate this with step ? 1/(2+3i)

Guest Apr 17, 2015

#1
+91510
+10

you can simplify by making the denominator real but you can't calculate it.  :/

$$\\\frac{1}{2+3i}\\\\ =\frac{1}{2+3i}\times \frac{2-3i}{2-3i}\\\\ =\frac{2-3i}{4--9}\\\\ =\frac{2-3i}{13}\\\\$$

Melody  Apr 17, 2015
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#1
+91510
+10
$$\\\frac{1}{2+3i}\\\\ =\frac{1}{2+3i}\times \frac{2-3i}{2-3i}\\\\ =\frac{2-3i}{4--9}\\\\ =\frac{2-3i}{13}\\\\$$