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anonymous
 one year ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parentheses 6 minus 6 i close parentheses.
quantity of negative 3 minus 6 i over 5
quantity of 39 minus 6 i over negative 9
quantity of negative 39 minus 6 i over 17
quantity of 3 minus 6 i over 3
anonymous
 one year ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parentheses 6 minus 6 i close parentheses. quantity of negative 3 minus 6 i over 5 quantity of 39 minus 6 i over negative 9 quantity of negative 39 minus 6 i over 17 quantity of 3 minus 6 i over 3

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Please write the problem using numbers and mathematical symbols instead of words. Use the equation editor, a copy or a scan of the original problem, or the draw tool.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{9}\div(47i)(66i)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha @mathstudent55 @nincompoop @Jhannybean

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\dfrac{\sqrt{9}}{4  7i}  (6  6i) \)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{\sqrt{9}}{4+7i}\]??

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1To rationalize a denominator, multiply by a fraction which is the conjugate over the conjugate. Also, let's take care of the square root of the negative number.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\dfrac{\sqrt{9}}{4  7i}  (6  6i) \) \(=\dfrac{3i}{4  7i} \times \dfrac{4 + 7i}{4 + 7i}  (6  6i) \) Do you follow so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we actually do the multiplication.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(=\dfrac{3i(4 + 7i)}{(4  7i)(4 + 7i)}  (6  6i) \) \(=\dfrac{12i + 21i^2}{16  (7i)^2}  (6  6i) \) \(=\dfrac{12i  21}{16 + 49}  (6  6i) \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(=\dfrac{12i  21}{65}  (6  6i) \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(=\dfrac{12i  21}{65}  \dfrac{65}{65}(6  6i) \) \(=\dfrac{12i  21}{65}  \dfrac{390390i}{65} \) \(=\dfrac{12i  21 (390390i)}{65} \) \(=\dfrac{12i  21 390+390i}{65} \) \(=\dfrac{411 + 402i}{65} \) \(=\dfrac{411}{65} + \dfrac{402}{65}i \)
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