kvn28 kvn28
  • 02-07-2019
  • Mathematics
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What is the standard form

What is the standard form class=

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Аноним Аноним
  • 02-07-2019

Answer:

C.  7/4 + √3i / 4.

Step-by-step 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.

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