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Simplify and rationalize the denominator: $\sqrt[3]{\frac{8}{\sqrt{27}}}.$ If the simplified expression can be expressed in the form $\frac{a\sqrt{b}}{c}$, what is a+b+c?

 Jun 10, 2019
 #1
avatar+39 
+1

ahhh the formatting is scary but here we go! \( $\sqrt[3]{\frac{8}{\sqrt{27}}}\)  \(\frac{a\sqrt{b}}{c}, a+b+c?\)
Ok so first you need to simpify the first expression which is 2/3 because 
cube root of 8= 2
so next you would need to say that radical 27 is basically 27 to the power of 1/2 and put it under the cube root and simplify 
and you would get \(2\sqrt{3}/3 \) and then you need to add the 3 numbers so it would be 8.
 (´・ω・`) (´・ω・`) (´・ω・`)

 Jun 11, 2019
 #2
avatar+248 
+1

Thanks!

sinclairdragon428  Jun 11, 2019

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