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Calculate the value
Answer
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$\dfrac{ 2-3i }{ 2+3i } + \dfrac{ 2+3i }{ 2-3i }$
$- \dfrac { 10 } { 13 }$
Calculate the value
$\color{#FF6800}{ \dfrac { 2 - 3 i } { 2 + 3 i } } + \dfrac { 2 + 3 i } { 2 - 3 i }$
$ $ Calculate the rationalization of the complex number $ $
$\color{#FF6800}{ \dfrac { - 5 - 12 i } { 13 } } + \dfrac { 2 + 3 i } { 2 - 3 i }$
$\dfrac { - 5 - 12 i } { 13 } + \color{#FF6800}{ \dfrac { 2 + 3 i } { 2 - 3 i } }$
$ $ Calculate the rationalization of the complex number $ $
$\dfrac { - 5 - 12 i } { 13 } + \color{#FF6800}{ \dfrac { - 5 + 12 i } { 13 } }$
$\color{#FF6800}{ \dfrac { - 5 - 12 i } { 13 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { - 5 + 12 i } { 13 } }$
$ $ Combine the fraction with the same denominator $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ i } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ i } } { 13 }$
$\dfrac { - 5 \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ i } - 5 \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ i } } { 13 }$
$ $ Eliminate opponent number $ $
$\dfrac { - 5 - 5 } { 13 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } } { 13 }$
$ $ Find the sum of the negative numbers $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 10 } } { 13 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 10 } } { 13 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 } { 13 } }$
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