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Popular >

simplify (10)/(6+2i)

Solution

simplify

\frac{10}{6 + 2 i}

Solution

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

Solution steps

\frac{10}{6 + 2 i}

Multiply by the conjugate

\frac{6 - 2 i}{6 - 2 i}

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

Simplify

\frac{10 ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )} : \frac{60 - 20 i}{40}

= \frac{60 - 20 i}{40}

Apply the fraction rule:

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

= \frac{60}{40} + \frac{- 20}{40} i

Simplify

\frac{60}{40} + \frac{- 20}{40} i : \frac{3}{2} - \frac{1}{2} i

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

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Frequently Asked Questions (FAQ)

What is (10)/(6+2i) ?
The solution to (10)/(6+2i) is 3/2-1/2 i