Question

Find the conjugate of 1/2-3i

Answer 1

The conjugate of 1/ 2-3i is 1/2+3i

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Answer 2

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To Find :

• The conjugate of 1/2-3i

Formula:

• i²=-1

SOLUTION:

$\ \implies \large \displaystyle\sf \: \frac{1}{2 - 3i}$

$\: \implies \ \large \ \displaystyle \red{ \sf \: \frac{1}{2 - 3i} \times \frac{2 + 3i}{2 + 3i} }$

$\: \large \implies \displaystyle \sf{ \red{ \frac{2 + 3i}{4 - 3 {i}^{2} } }}$

$\: \large\implies \displaystyle \sf{ \red{ \: \frac{2 + 3i}{4 + 3} }}$

$\: \: \large\implies \displaystyle \sf { \red{ \: \frac{2 + 3i}{7} }}$

$\: \bigstar \boxed{ \large { \bf{the \: conjugate \: will \: be \: \frac{2 + 3i}{7} }}}$

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