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?

sinclairdragon428 Jun 10, 2019

#1**+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･`)

Nirvana Jun 11, 2019