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Calcmathlete
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If you have a problem like \[\frac{3}{\sqrt{9}}\]does it matter if you bring the i out first or rationalize first? I believe that it doesn't matter which because it'll come out as i?
 2 years ago
 2 years ago
Calcmathlete Group Title
If you have a problem like \[\frac{3}{\sqrt{9}}\]does it matter if you bring the i out first or rationalize first? I believe that it doesn't matter which because it'll come out as i?
 2 years ago
 2 years ago

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phi Group TitleBest ResponseYou've already chosen the best response.1
it does not matter, but generally people write \[ \sqrt{9} \text{ as }i\sqrt{9} \] so \[ \frac{\cancel{3}}{\cancel{3}i}= \frac{i}{i*i}= i \]
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Wait, if you do it the other way, wouldn't it become i? \[\frac{3}{\sqrt{9}} \times \frac{\sqrt{9}}{\sqrt{9}} \implies \frac{9i}{9} \implies i\]Or did I do something wrong?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
sqrt(9)*sqrt(9)= 9
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Ohh...I thought that you would multiply was was inside before simplify the radical...I guess I was wrong. THank you :)
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
I think \[ \sqrt{a \cdot b} =\sqrt{a}\cdot \sqrt{b} \] only works for positive a,b
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Oh ok. THat makes sense since you can't really have two answers for something like this. Again, thank you. I'll double check the rule in a second.
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Yup. THat is the case. Would that also apply to dividing radicals?
 2 years ago
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