bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?
A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2
if the exponents are distributed, we get
(2^3 x 3)/ 2 x √2
= 24/ 2 x √2
= 12/ √2
now, so far I know, there is an unofficial rule in math that states that radical such as "√" cannot be in the denominator
so we have to rationalize it..
= (12 x √2)/ 2
= 6 x √2 (answer)
cheers through the kudos button if this helps
thanks

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