Question

Which expression is equivalent to ? Assume x > 0

Answer 1

The answer is the last one,


`\frac{ \sqrt[2]{2} }{ {x}^(3) }`

Answer 2

`(2√(2))/(x^3)`

Explanation:

`\sqrt{(8)/(x^6) }`

Take square root for top and bottom separately

`(√(8) )/(√(x^6) )`

square root (8) =
`√(4*2)=2√(2)`

`√(x^6) =x^3`

`(√(8))/(√(x^6))=(2√(2))/(x^3)`

`(2√(2))/(x^3)`