Question

Solve for $\tt \:   \longrightarrow \:\dfrac{6 + 2i}{1 + i}$​

Answer 1

Formula Used :-

$\:(1). \: \boxed{ \red{\tt \:  {i}^{2} = - 1}}$

Solution:-

$\sf :\implies \:\dfrac{6 + 2i}{1 + i}$

$\sf :\implies\:\dfrac{6 + 2i}{1 + i} \times \dfrac{1 - i}{1 - i}$

$\sf :\implies \:\dfrac{6 - 6i + 2i - {2i}^{2} }{ {1}^{2} - {i}^{2} }$

$\sf :\implies\:\dfrac{6 - 4i + 2}{1 + 1}$

$\sf :\implies \:\dfrac{8 - 4i}{2}$

$\sf :\implies \:4 - 2i$

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