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What is the standard form

What is the standard form-example-1
User Shang Wang
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1 Answer

1 vote

Answer:

C. 7/4 + √3i / 4.

Explanation:

(1 + 2√-3) / (1 + √-3)

Since √-1 = i we have:

(1 + 2√3i) / (1 + √3i)

Multiply top and bottom by the conjugate (1 - √3i):

(1 + 2√3i)( (1 - √3i) / (1 + √3i) (1 - √3i)

= 1 - √3 i + 2√3 i + 6) ( 1 + 3)

= 7 +√3i / 4

= 7/4 + √3i / 4.

User Jonas Bylov
by
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