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Simplify 4 over quantity 2 plus 7 i.

User Ediac
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2 Answers

7 votes

Answer:

(8-28i)/53

hope it helps!

User Abdellah OUMGHAR
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4 votes
To simplify 4/(2+7i), we multiply it by a fraction equal to one that removes the i value in the denominator. The best value to do this is the complex conjugate divided by itself, so we have 4(2-7i)/((2+7i)(2-7i)). Simplifying, we have (8-28i)/(4-(-49))=(8-28i)/53, which is a completely simplified fraction since 8 and 53 are relatively prime (or coprime), and there are no radicals in the denominator.
User Chuidiang
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