3 years ago

Simplify 4 over quantity 2 plus 7 i.

Mathematics

2 answers:

alexandr1967 [171]3 years ago

5 0

Answer:

(8-28i)/53

hope it helps!

spayn [35]3 years ago

3 0

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.

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cricket20 [7]

Answer:

Step-by-step explanation:

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