Question

`\frac{x^{(1)/(4) } +2}{x^{(1)/(4) } -2}`

How do you simplify that expression?

Answer 1

`\frac{x^{(1)/(4) } +2}{x^{(1)/(4) } -2}`

rationalise the denomimator:

`= \frac{ {x}^{ (1)/(4) } + 2 }{ {x}^{ (1)/(4) } - 2} . \frac{( {x}^{ (1)/(4) } + 2)}{ ({x}^{ (1)/(4) } + 2)} \\ \\ = \frac{ {x}^{ (1)/(2) } + 4 {x}^{ (1)/(4) } + 4 }{ {x}^{ (1)/(2) } - 4}`