What is (4+4i)/(1+sqrt(3)i) ?

The solution to (4+4i)/(1+sqrt(3)i) is (1+sqrt(3))+(-sqrt(3)+1)i

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simplify (4+4i)/(1+sqrt(3)i)

simplify

\frac{4 + 4 i}{1 + 3 i}

(1 + 3) + (- 3 + 1) i

Solution steps

\frac{4 + 4 i}{1 + 3 i}

Multiply by the conjugate

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

= \frac{( 4 + 4 i ) ( 1 - 3 i )}{( 1 + 3 i ) ( 1 - 3 i )}

Simplify

\frac{( 4 + 4 i ) ( 1 - 3 i )}{( 1 + 3 i ) ( 1 - 3 i )} : \frac{4 + 4 3 + 4 i ( - 3 + 1 )}{4}

= \frac{4 + 4 3 + 4 i ( - 3 + 1 )}{4}

Rewrite in standard complex form:

(1 + 3) + (- 3 + 1) i

= (1 + 3) + (- 3 + 1) i

t^{4} + 2 t^{2} + 1

5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

22 0^{2}

\frac{( sin ^{2} ( x ) )}{cos ^{2} ( x )}

\frac{2 3 - 2}{18}

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