Question

I need urgent help with the question. Can someone please give full working out of the attached question

Answer 1

2x-2

Explanation:

Being specifically asked to rationalise the denominator we focus on it as required.

To rationalise a term it has to be multiplied by its inverse.

The inverse of

`√(x) - √(2 - x)`

is

`√(x) + √(2 - x)`

Multiplying this two vives us a difference of two squares

`{( √(x) })^(2) - {( √(2 - x) )}^(2)`

which gives us

x-(2-x)

=2x-2