How do you divide (5/(1+i))(51+i)?
3 Answers
Explanation:
"multiply the numerator/denominator by the complex"multiply the numerator/denominator by the complex
"conjugate of the denominator"conjugate of the denominator
"the conjugate of "1+i" is "1color(red)(-)ithe conjugate of 1+i is 1−i
=(5(1-i))/((1+i)(1-i))=5(1−i)(1+i)(1−i)
=(5-5i)/(1-i^2)toi^2=-1=5−5i1−i2→i2=−1
=(5-5i)/2=1/2(5-5i)=5−5i2=12(5−5i)
Explanation:
Given that
Explanation:
Dividing by complex numbers is the same as multiplying by the complex conjugate:
Complex Conjugate of a complex number
Multiplying by the complex conjugate, we now have
Recall that
Hope this helps!