What is $\frac{6}{5 + i}$ $6/(5+i)$ written in standard form?

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What is $\frac{6}{5 + i}$ $6/(5+i)$ written in standard form?

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Answer 1 · 2015-04-30T04:54:39

$\frac{6}{5 + I} .$ $6/(5 + I).$

Multiply both numerator and denominator by (5 - i)#

$\frac{6 . (5 - i)}{(5 + i) (5 - i)} = \frac{6 (5 - i)}{25 - i^{2}} = \frac{6 (5 - i)}{26} = \frac{3 (5 - i)}{13}$ $[6.(5 - i)]/[(5 + i)(5 - i)] = [6(5 - i)]/(25 - i^2) = [6(5 - i)]/26 = [3(5 - i)]/13$

Reminder: $i^{2} = - 1$ $i^2 = -1$

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