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0
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avatar+1791 

Fill in the blanks with real numbers:

 

(sqrt(3) + i)*6*(6 + i)^4 = ___ + ___ i.

 Dec 19, 2023
 #2
avatar+128816 
0

(sqrt 3 + i)*6  =  6sqrt 3 +  6i  = a

 

(6 + i)^4  = 

6^4 + 4*6^3 * i  + 6*6^2* i^2  + 4*6*i^3 + i^4  =  

1296 + 864i - 216 -24i + 1 =

1081 + 840i  =  b

 

(a)(b)  = (6sqrt3 + 6i) ( 1081 + 840i)  =  6486sqrt 3 + 6486 i + 5040sqrt(3) i - 5040 =

 

6486sqrt (3) -5040 + (6486 i + 5040sqrt (3) ) i

 

 

cool cool cool

 Dec 19, 2023

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