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Popular >

simplify (4+2i)/(3-i)

Solution

simplify

\frac{4 + 2 i}{3 - i}

Solution

1 + i

Solution steps

\frac{4 + 2 i}{3 - i}

Multiply by the conjugate

\frac{3 + i}{3 + i}

= \frac{( 4 + 2 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )}

Simplify

\frac{( 4 + 2 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{10 + 10 i}{10}

= \frac{10 + 10 i}{10}

Apply the fraction rule:

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

= \frac{10}{10} + \frac{10}{10} i

Simplify

\frac{10}{10} + \frac{10}{10} i : 1 + i

= 1 + i

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Frequently Asked Questions (FAQ)

What is (4+2i)/(3-i) ?
The solution to (4+2i)/(3-i) is 1+i