Current Events > why doesn't 3^sqrt(9)=1/27?

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ThinkCritically
09/28/17 6:57:18 AM
#1:


i just thought of this while i was poopin

since sqrt(9) is +-3, why isn't 3^sqrt(9) = 27 or 1/27?
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Sativa_Rose
09/28/17 6:59:05 AM
#2:


Probably because calculators seem to only give the positive answer when you do a sqrt function
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ThinkCritically
09/28/17 7:00:43 AM
#3:


Sativa_Rose posted...
Probably because calculators seem to only give the positive answer when you do a sqrt function

but even wolfram alpha is only giving the positive answer
https://www.wolframalpha.com/input/?i=3%5Esqrt(9)
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Fam_Fam
09/28/17 7:01:09 AM
#4:


because the radical symbol implies the principal (or positive) square root

see the first few lines of the wiki

https://en.wikipedia.org/wiki/Square_root
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ThinkCritically
09/28/17 7:02:11 AM
#5:


Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root

but either are correct
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Sativa_Rose
09/28/17 7:02:34 AM
#6:


Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)
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scar the 1
09/28/17 7:03:37 AM
#7:


ThinkCritically posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root

but either are correct

Either but not both.
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Fam_Fam
09/28/17 7:03:56 AM
#8:


Sativa_Rose posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)


you use the +/- if you have an equation like x^2 = 9. Thus x = +/- 3. That is different from x = sqrt(9), which only has the answer 3.
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Fam_Fam
09/28/17 7:04:56 AM
#9:


If we mean the radical symbol when we say sqrt, then sqrt(9) = 3, not -3, not +/3. Only 27 is correct in the original post.
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Sativa_Rose
09/28/17 7:05:08 AM
#10:


Fam_Fam posted...
Sativa_Rose posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)


you use the +/- if you have an equation like x^2 = 9. Thus x = +/- 3. That is different from x = sqrt(9), which only has the answer 3.


Oh yeah huh, I think I must have been thinking about those x^2 = 9 type problems
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scar the 1
09/28/17 7:05:38 AM
#11:


Sativa_Rose posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)

Maybe you're thinking of the equation
x^2 = blabla,
then the solution is
x = ±sqrt(blabla).
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Fam_Fam
09/28/17 7:37:07 AM
#12:


scar the 1 posted...
Sativa_Rose posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)

Maybe you're thinking of the equation
x^2 = blabla,
then the solution is
x = ±sqrt(blabla).


i said that same thing in post 8 :P
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scar the 1
09/28/17 7:39:47 AM
#13:


Fam_Fam posted...
scar the 1 posted...
Sativa_Rose posted...
Fam_Fam posted...
because the radical symbol implies the principal (or positive) square root


It does? I could have sworn back in algebra 2 we were supposed to put the +/- answers on things that used the square root symbol (assuming we're talking about the thing that looks like the V in the Vans shoe logo)

Maybe you're thinking of the equation
x^2 = blabla,
then the solution is
x = ±sqrt(blabla).


i said that same thing in post 8 :P

Yeah I was typing when you did that :(
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