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kkurt [141]
3 years ago
5

HELP!!! jrjfugyycufufufufujrjrj4hr​

Mathematics
1 answer:
Ugo [173]3 years ago
7 0
Blip blah blip blah blah mah
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\displaystyle\frac{2 +  \sqrt{ - 3} }{2} ( \frac{2 -  \sqrt{ - 3} }{2} )~~~~~~

Evaluate.

Solution:

Rewrite it as,

  • \displaystyle\frac{2 +    \sqrt{  - 1 }  \sqrt{  3} }{2} ( \frac{2 -  \sqrt{ - 1}  \sqrt{3} }{2} )
  • \displaystyle\frac{2 +  i\sqrt{  3} }{2} ( \frac{2 -  i\sqrt{ 3} }{2} )~~~~~~

Multiplying them,

  • \displaystyle\frac{(2 +  i\sqrt{  3})\times(2 - i \sqrt{3})   }{2 \times 2}

  • \displaystyle\frac{(2 +  i\sqrt{  3})\times(2 - i \sqrt{3})   }{4}

Applying Distributive property,

  • \displaystyle\frac{2(2 +  i\sqrt{  3}) +  \: i \sqrt{3} (2 - i \sqrt{3})   }{4}

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

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

Combining each terms,

  • \cfrac{4 - 2i \sqrt{3} + 2i \sqrt{3}   + 3}{4}
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  • \boxed{\cfrac{ 7}{4} }

Last Choice is accurate.

7 0
2 years ago
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