Can youc ombine #\frac { x } { \root[ 3] { x - 2} } + \frac { \root [ 3] { ( x - 2) ^ { 2} } } { 1}#?

1 Answer
Noah G
Aug 27, 2017

#=(2(x - 1))/(x - 2)^(1/3)#

Explanation:

Note that #root(3)((x -2)^2) = (x - 2)^(2/3)#.

#x/(x -2)^(1/3) + (x - 2)^(2/3)#

#= x/(x - 2)^(1/3) + ((x - 2)^(2/3)(x -2)^(1/3))/(x -2)^(1/3)#

#= (x + (x - 2)^(3/3))/(x - 2)^(1/3)#

#= (x + x - 2)/(x - 2)^(1/3)#

#= (2x- 2)/(x - 2)^(1/3)#

#=(2(x - 1))/(x - 2)^(1/3)#

Hopefully this helps!

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