Question

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

Answer 1

Answer:

2x-2

Step-by-step 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

$\sqrt{x} - \sqrt{2 - x}$

is

$\sqrt{x} + \sqrt{2 - x}$

Multiplying this two vives us a difference of two squares

${( \sqrt{x} })^{2} - {( \sqrt{2 - x} )}^{2}$

which gives us

x-(2-x)

=2x-2