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Popular >

simplify 1/(3+i)

Solution

simplify

\frac{1}{3 + i}

Solution

\frac{3}{10} - \frac{1}{10} i

Solution steps

\frac{1}{3 + i}

Multiply by the conjugate

\frac{3 - i}{3 - i}

= \frac{1 \cdot ( 3 - i )}{( 3 + i ) ( 3 - i )}

Simplify

\frac{1 \cdot ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{3 - i}{10}

= \frac{3 - i}{10}

Rewrite in standard complex form:

\frac{3}{10} - \frac{1}{10} i

= \frac{3}{10} - \frac{1}{10} i

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simplify 8/(3i)simplify

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Frequently Asked Questions (FAQ)

What is 1/(3+i) ?
The solution to 1/(3+i) is 3/10-1/10 i