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Popular >

simplify (-2)/(1+3i)

Solution

simplify

\frac{- 2}{1 + 3 i}

Solution

- \frac{1}{5} + \frac{3}{5} i

Solution steps

\frac{- 2}{1 + 3 i}

Multiply by the conjugate

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

= \frac{- 2 ( 1 - 3 i )}{( 1 + 3 i ) ( 1 - 3 i )}

Simplify

\frac{- 2 ( 1 - 3 i )}{( 1 + 3 i ) ( 1 - 3 i )} : \frac{- 2 + 6 i}{10}

= \frac{- 2 + 6 i}{10}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 2}{10} + \frac{6}{10} i

Simplify

\frac{- 2}{10} + \frac{6}{10} i : - \frac{1}{5} + \frac{3}{5} i

= - \frac{1}{5} + \frac{3}{5} i

Popular Examples

simplify e^{0.06}-1 simplify

e^{0.06} - 1

x^{3} - 49 x \geq 0

- 6 = \frac{- 5 + x}{4}

simplify (637)/(31.5*10*1.025)simplify

\frac{637}{31.5 \cdot 10 \cdot 1.025}

y^{2} - 2 y - 10 = 0

Frequently Asked Questions (FAQ)

What is (-2)/(1+3i) ?
The solution to (-2)/(1+3i) is -1/5+3/5 i