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Popular >

simplify 1/(7+2i)

Solution

simplify

\frac{1}{7 + 2 i}

Solution

\frac{7}{53} - \frac{2}{53} i

Solution steps

\frac{1}{7 + 2 i}

Multiply by the conjugate

\frac{7 - 2 i}{7 - 2 i}

= \frac{1 \cdot ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )}

Simplify

\frac{1 \cdot ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )} : \frac{7 - 2 i}{53}

= \frac{7 - 2 i}{53}

Rewrite in standard complex form:

\frac{7}{53} - \frac{2}{53} i

= \frac{7}{53} - \frac{2}{53} i

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Frequently Asked Questions (FAQ)

What is 1/(7+2i) ?
The solution to 1/(7+2i) is 7/53-2/53 i