What is 1/(sqrt(5)+3i) ?

The solution to 1/(sqrt(5)+3i) is (sqrt(5))/(14)-3/14 i

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simplify 1/(sqrt(5)+3i)

simplify

\frac{1}{5 + 3 i}

\frac{5}{14} - \frac{3}{14} i

Solution steps

\frac{1}{5 + 3 i}

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

= \frac{1 \cdot ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

Simplify

\frac{1 \cdot ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{5 - 3 i}{14}

= \frac{5 - 3 i}{14}

Rewrite in standard complex form:

\frac{5}{14} - \frac{3}{14} i

= \frac{5}{14} - \frac{3}{14} i

1 - (- 10)

2 x^{11}

- 15 - (- 6)

4 c - 2 c - (4 c + 2 c)

\frac{x ^{2} y ^{- 3}}{x ^{- 5} y}

What is 1/(sqrt(5)+3i) ?
The solution to 1/(sqrt(5)+3i) is (sqrt(5))/(14)-3/14 i