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Popular >

simplify (2+6i)/(1+i)

Solution

simplify

\frac{2 + 6 i}{1 + i}

Solution

4 + 2 i

Solution steps

\frac{2 + 6 i}{1 + i}

Multiply by the conjugate

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

= \frac{( 2 + 6 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 2 + 6 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{8 + 4 i}{2}

= \frac{8 + 4 i}{2}

Apply the fraction rule:

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

= \frac{8}{2} + \frac{4}{2} i

Simplify

\frac{8}{2} + \frac{4}{2} i : 4 + 2 i

= 4 + 2 i

Popular Examples

2 x^{2} - 2 x - 3 = 0

simplify (-5)^1 simplify

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simplify (4a^5)/(7b^4)*(2b^2)/(2a^4)simplify

\frac{4 a ^{5}}{7 b ^{4}} \cdot \frac{2 b ^{2}}{2 a ^{4}}

factor m^2+2m-35 factor

m^{2} + 2 m - 35

\frac{9}{5} c + 32 = 68

Frequently Asked Questions (FAQ)

What is (2+6i)/(1+i) ?
The solution to (2+6i)/(1+i) is 4+2i