50.3k views
24 votes
Need some help, kinda stuck

Need some help, kinda stuck-example-1
User Mojisola
by
9.1k points

1 Answer

2 votes

Answer:

7/4

Explanation:


\displaystyle(2 + √( - 3) )/(2) ( (2 - √( - 3) )/(2) )~~~~~~

Evaluate.

Solution:

Rewrite it as,


  • \displaystyle(2 + √( - 1 ) √( 3) )/(2) ( (2 - √( - 1) √(3) )/(2) )

  • \displaystyle(2 + i√( 3) )/(2) ( (2 - i√( 3) )/(2) )~~~~~~

Multiplying them,


  • \displaystyle((2 + i√( 3))*(2 - i √(3)) )/(2 * 2)


  • \displaystyle((2 + i√( 3))*(2 - i √(3)) )/(4)

Applying Distributive property,


  • \displaystyle(2(2 + i√( 3)) + \: i √(3) (2 - i √(3)) )/(4)


  • \cfrac{2 * 2 + 2( - i √(3) ) + i √(3)(2 - i √(3) ) }{4}


  • \cfrac{2 * 2 + 2( - i √(3)) + i √(3) * 2 + i √(3) ( - i √(3)) }{4}

Combining each terms,


  • \cfrac{4 - 2i √(3) + 2i √(3) + 3}{4}

  • \cfrac{ - 2i √(3) + 2i √(3) + 7 }{4}

  • \boxed{\cfrac{ 7}{4} }

Last Choice is accurate.

User Adam Coulombe
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories