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Simplify the given expression below: 2/2+5i

Simplify the given expression below: 2/2+5i-example-1
User Supertopi
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2 Answers

2 votes
You would multiply by the conjugate and simplify.The correct answer would be D. 4-10i/29
User Valentin Cerneanu
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5 votes

Answer with explanation:

The given expression is:


=(2)/(2+5 i)\\\\ \text{Rationalizing denominator}}\\\\=(2* (2-5i))/((2+5i)(2-5 i))\\\\=(4-10 i)/(2^2-(5i)^2)\\\\=(4+5i)/(4-25i^2)\\\\=(4-10 i)/(4+25)\\\\=(4-10 i)/(29)\\\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)

Option D

User Metrix
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