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Perform the indicated operation and express your answer in simplest radical form. 

^3√8 
--------- 
^4√8 

 

a)12√64

b)12√8

c)-√8

d)7√8

 Sep 13, 2015

Best Answer 

 #1
avatar+130516 
+5

Sorry....your question doesn't make any sense to me....did you leave something out????

 

 

 

cool cool cool

 Sep 13, 2015
 #1
avatar+130516 
+5
Best Answer

Sorry....your question doesn't make any sense to me....did you leave something out????

 

 

 

cool cool cool

CPhill Sep 13, 2015
 #2
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0

No i didn't. 

That's how I was given it, sorrry.

 Sep 13, 2015
 #3
avatar+12530 
+5


Is this ok.?

 Sep 13, 2015
 #4
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0

Thanks but those a, b, c, d are my choices. One of those is the answer.

 Sep 13, 2015
 #5
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0

Nothing of a, b, c, d is the answer.

 Sep 13, 2015
 #6
avatar
0

Okay, maybe there is a mistake with the question. 

Thanks for helping you all!

 Sep 13, 2015
 #7
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0

THIS IS YOUR CORRECT ANSWER:2^(1/4)=   ∜2

 Sep 13, 2015
 #8
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I took a guess and got it correct! "b" was the answer.

 Sep 13, 2015
 #9
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Let me just understand what you are trying to obtain: do you want the answer in "simplest radical form" to this expression: 3r.root of 8 DIVIDED by the 4th. root of 8? If that's what you are trying to get, the answer I gave you is the correct answer. It can't "b", because if you calculate it on a calculator, you get: 12 X 2.828427(or square root of 8)=33.941125.....etc.

 Sep 13, 2015
 #10
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Here is your answer step by step:

Simplify the following:
(8^(1/3))/(8^(1/4))
Simplify radicals.
8^(1/4)  =  (2^3)^(1/4):
(8^(1/3))/(2^(3/4))
Simplify radicals.
8^(1/3)  =  (2^3)^(1/3)  =  2:
2/2^(3/4)
Multiply numerator and denominator of 2/2^(3/4) by 2^(1/4).
Rationalize the denominator. 2/2^(3/4)  =  2/2^(3/4)×(2^(1/4))/(2^(1/4))  =  (2 2^(1/4))/(2):
(2 2^(1/4))/(2)
Cancel common terms in the numerator and denominator of (2 2^(1/4))/(2).
(2 2^(1/4))/(2) = 2/2×2^(1/4) = 2^(1/4):
Answer: 
2^(1/4)

 Sep 14, 2015

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